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100122121099 = 711131922432347
BaseRepresentation
bin101110100111110111…
…1100101001110001011
3100120102200102201220101
41131033233211032023
53120022230333344
6113555004310231
710143055662460
oct1351757451613
9316380381811
10100122121099
1139509366530
12174a2842377
139597bc9c50
144bbb36d667
15290ed0d9d4
hex174fbe538b

100122121099 has 64 divisors (see below), whose sum is σ = 141628354560. Its totient is φ = 68166126720.

The previous prime is 100122121097. The next prime is 100122121111. The reversal of 100122121099 is 990121221001.

It is not a de Polignac number, because 100122121099 - 21 = 100122121097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100122121091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42658444 + ... + 42660790.

It is an arithmetic number, because the mean of its divisors is an integer number (2212943040).

Almost surely, 2100122121099 is an apocalyptic number.

100122121099 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

100122121099 is a deficient number, since it is larger than the sum of its proper divisors (41506233461).

100122121099 is a wasteful number, since it uses less digits than its factorization.

100122121099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4640.

The product of its (nonzero) digits is 648, while the sum is 28.

The spelling of 100122121099 in words is "one hundred billion, one hundred twenty-two million, one hundred twenty-one thousand, ninety-nine".

Divisors: 1 7 11 13 19 77 91 133 143 209 247 1001 1463 1729 2243 2347 2717 15701 16429 19019 24673 25817 29159 30511 42617 44593 172711 180719 204113 213577 298319 312151 320749 335621 468787 490523 554021 579709 2245243 2349347 3281509 3433661 3878147 4057963 5264321 6094231 6376799 36850247 42659617 44637593 57907531 68436173 100022099 405352717 479053211 700154693 752797903 1100243089 1300287287 5269585321 7701701623 9102011009 14303160157 100122121099