10111110111121 has 48 divisors (see below), whose sum is σ = 11216975748160. Its totient is φ = 9086196591360.

The previous prime is 10111110111073. The next prime is 10111110111131. The reversal of 10111110111121 is 12111101111101.

It is not a de Polignac number, because 10111110111121 - 2¹¹ = 10111110109073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10111110111131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 884064415 + ... + 884075851.

Almost surely, 2^{10111110111121} is an apocalyptic number.

It is an amenable number.

10111110111121 is a deficient number, since it is larger than the sum of its proper divisors (1105865637039).

10111110111121 is a wasteful number, since it uses less digits than its factorization.

10111110111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12482 (or 12453 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 13.

Adding to 10111110111121 its reverse (12111101111101), we get a palindrome (22222211222222).

The spelling of 10111110111121 in words is "ten trillion, one hundred eleven billion, one hundred ten million, one hundred eleven thousand, one hundred twenty-one".