10111011121 has 16 divisors (see below), whose sum is σ = 10345522176. Its totient is φ = 9880000000.

The previous prime is 10111011091. The next prime is 10111011133. The reversal of 10111011121 is 12111011101.

It is a cyclic number.

It is not a de Polignac number, because 10111011121 - 2⁵ = 10111011089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10111011098 and 10111011107.

It is not an unprimeable number, because it can be changed into a prime (10111011191) 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, 2525121 + ... + 2529121.

It is an arithmetic number, because the mean of its divisors is an integer number (646595136).

Almost surely, 2^10111011121 is an apocalyptic number.

It is an amenable number.

10111011121 is a deficient number, since it is larger than the sum of its proper divisors (234511055).

10111011121 is a wasteful number, since it uses less digits than its factorization.

10111011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4424.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10111011121 its reverse (12111011101), we get a palindrome (22222022222).

The spelling of 10111011121 in words is "ten billion, one hundred eleven million, eleven thousand, one hundred twenty-one".