100010011102122 has 64 divisors (see below), whose sum is σ = 220578642385920. Its totient is φ = 29976890486400.

The previous prime is 100010011102117. The next prime is 100010011102189. The reversal of 100010011102122 is 221201110010001.

It is a super-2 number, since 2×100010011102122² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100010011102098 and 100010011102107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2723779 + ... + 14402742.

It is an arithmetic number, because the mean of its divisors is an integer number (3446541287280).

Almost surely, 2^{100010011102122} is an apocalyptic number.

100010011102122 is an abundant number, since it is smaller than the sum of its proper divisors (120568631283798).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100010011102122 is a wasteful number, since it uses less digits than its factorization.

100010011102122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17127499.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100010011102122 its reverse (221201110010001), we get a palindrome (321211121112123).

The spelling of 100010011102122 in words is "one hundred trillion, ten billion, eleven million, one hundred two thousand, one hundred twenty-two".