10100112211121 has 16 divisors (see below), whose sum is σ = 11187312257664. Its totient is φ = 9069780513024.

The previous prime is 10100112211097. The next prime is 10100112211127. The reversal of 10100112211121 is 12111221100101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100112211121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100112211096 and 10100112211105.

It is not an unprimeable number, because it can be changed into a prime (10100112211127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32378135 + ... + 32688588.

It is an arithmetic number, because the mean of its divisors is an integer number (699207016104).

Almost surely, 2^{10100112211121} is an apocalyptic number.

It is an amenable number.

10100112211121 is a deficient number, since it is larger than the sum of its proper divisors (1087200046543).

10100112211121 is a wasteful number, since it uses less digits than its factorization.

10100112211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65067160.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10100112211121 its reverse (12111221100101), we get a palindrome (22211333311222).

The spelling of 10100112211121 in words is "ten trillion, one hundred billion, one hundred twelve million, two hundred eleven thousand, one hundred twenty-one".