10012111121 has 16 divisors (see below), whose sum is σ = 10807862400. Its totient is φ = 9239563008.

The previous prime is 10012111093. The next prime is 10012111129. The reversal of 10012111121 is 12111121001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10012111121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10012111129) 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 15 ways as a sum of consecutive naturals, for example, 2213300 + ... + 2217818.

It is an arithmetic number, because the mean of its divisors is an integer number (675491400).

Almost surely, 2^10012111121 is an apocalyptic number.

It is an amenable number.

10012111121 is a deficient number, since it is larger than the sum of its proper divisors (795751279).

10012111121 is a wasteful number, since it uses less digits than its factorization.

10012111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7048.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10012111121 its reverse (12111121001), we get a palindrome (22123232122).

The spelling of 10012111121 in words is "ten billion, twelve million, one hundred eleven thousand, one hundred twenty-one".