The gooprol is equal to \(10^{100}+267\), the first prime after googol \((10^{100})\).[1]
Decimal expansion[]
Approximations[]
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{100}\) | \(1.001\times10^{100}\) |
| Arrow notation | \(10\uparrow100\) | \(53\uparrow58\) |
| Steinhaus-Moser Notation | 56[3] | 57[3] |
| Copy notation | 9[100] | 1[101] |
| Taro's multivariable Ackermann function | A(3,329) | A(3,330) |
| Pound-Star Notation | #*(8,8,2,3,1,7,1)*9 | #*(15,0,2,10,2,1)*12 |
| BEAF | {10,100} | {53,58} |
| Hyper-E notation | E100 | E[53]58 |
| Bashicu matrix system | (0)(0)(0)(0)(0)[1333] | (0)(0)(0)(0)(0)[1334] |
| Hyperfactorial array notation | 69! | 70! |
| Fast-growing hierarchy | \(f_2(323)\) | \(f_2(324)\) |
| Hardy hierarchy | \(H_{\omega^2}(323)\) | \(H_{\omega^2}(324)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^2}+\omega^22+\omega6+7}(10)\) | |
Sources[]
See also[]
Hypermathematics: bigoogol · trigoogol · quadrigoogol · coogol(plex)
Hyperlicious: wakoogol(plex) · wakamoogol(plex) · wonkapoogol(plex) · ultron
Numbers with a W: woogol · wiggol · waggol · weegol · wigol · woggol · wagol · bwoogol · bwiggol · bwaggol · bweegol · bwigol · bwoggol · bwagol
Primes: Gooprol(plex) · Booprol · Trooprol · Quadrooprol
Other: Bentley's Number · Pigol · Egol · Phigol · gongol(plex) · kaboodol(plex) · gaz(illion)
Originals: googol · googolplex
Cockburn's examples: gargoogolplex · fzgoogolplex · (mega)fugagoogolplex
Googol-n-plex: googolduplex · googoltriplex · -quadriplex · -quinplex · -sextiplex · -septiplex · -octiplex · -noniplex · -deciplex · -centiplex
Googol-103n-plex: googolmilliplex · -megaplex · -gigaplex · -teraplex · -petaplex · -exaplex · -zettaplex · -yottaplex · -xennaplex · -vekaplex · -mekaplex
Bowers' extensions: giggol · gaggol · geegol · boogol · biggol · troogol · goobol · more...
Saibian's extensions: googol-minutia · googolchime · googoltoll · googolgong · grangol · greagol · gigangol · gugold · graatagold · gugolthra · throogol · godgahlah · tethrathoth · more...
Miscellany: googolbang (10100!) · googolminex (10^-10100) · googolteen · googolty · great googol(plex) · gooprol · little googol/googolbit · zootzootplex