10102211121 has 64 divisors (see below), whose sum is σ = 15115984128. Its totient is φ = 5973147648.

The previous prime is 10102211117. The next prime is 10102211129. The reversal of 10102211121 is 12111220101.

It is not a de Polignac number, because 10102211121 - 2² = 10102211117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10102211097 and 10102211106.

It is not an unprimeable number, because it can be changed into a prime (10102211129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8300305 + ... + 8301521.

It is an arithmetic number, because the mean of its divisors is an integer number (236187252).

Almost surely, 2^10102211121 is an apocalyptic number.

It is an amenable number.

10102211121 is a deficient number, since it is larger than the sum of its proper divisors (5013773007).

10102211121 is a wasteful number, since it uses less digits than its factorization.

10102211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410.

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

Adding to 10102211121 its reverse (12111220101), we get a palindrome (22213431222).

The spelling of 10102211121 in words is "ten billion, one hundred two million, two hundred eleven thousand, one hundred twenty-one".