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100222200202201 = 71131371134775079
BaseRepresentation
bin10110110010011011001100…
…101001000100001111011001
3111010212011000110012100001021
4112302123030221010033121
5101114020031222432301
6553053235420122441
730052546356533650
oct2662331451041731
9433764013170037
10100222200202201
1129a2aaa6254920
12b2a7898096421
1343bcbb391242c
141aa6acd4aa197
15b8c021c1b8a1
hex5b26cca443d9

100222200202201 has 32 divisors (see below), whose sum is σ = 132469103738880. Its totient is φ = 73533425054400.

The previous prime is 100222200202193. The next prime is 100222200202207. The reversal of 100222200202201 is 102202002222001.

It is a cyclic number.

It is not a de Polignac number, because 100222200202201 - 23 = 100222200202193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100222200202207) 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 31 ways as a sum of consecutive naturals, for example, 567299221 + ... + 567475858.

It is an arithmetic number, because the mean of its divisors is an integer number (4139659491840).

Almost surely, 2100222200202201 is an apocalyptic number.

100222200202201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100222200202201 is a deficient number, since it is larger than the sum of its proper divisors (32246903536679).

100222200202201 is a wasteful number, since it uses less digits than its factorization.

100222200202201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134775165.

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 100222200202201 its reverse (102202002222001), we get a palindrome (202424202424202).

The spelling of 100222200202201 in words is "one hundred trillion, two hundred twenty-two billion, two hundred million, two hundred two thousand, two hundred one".

Divisors: 1 7 11 31 37 77 217 259 341 407 1147 2387 2849 8029 12617 88319 1134775079 7943425553 12482525869 35178027449 41986677923 87377681083 246246192143 293906745461 386958301939 461853457153 1301587015613 2708708113573 3232974200071 9111109109291 14317457171743 100222200202201