11111012121 has 64 divisors (see below), whose sum is σ = 17026329600. Its totient is φ = 6383328000.

The previous prime is 11111012093. The next prime is 11111012153. The reversal of 11111012121 is 12121011111.

It is not a de Polignac number, because 11111012121 - 2⁹ = 11111011609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11111012097 and 11111012106.

It is not an unprimeable number, because it can be changed into a prime (11111012161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13434910 + ... + 13435736.

It is an arithmetic number, because the mean of its divisors is an integer number (266036400).

Almost surely, 2^11111012121 is an apocalyptic number.

11111012121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11111012121 is a deficient number, since it is larger than the sum of its proper divisors (5915317479).

11111012121 is a wasteful number, since it uses less digits than its factorization.

11111012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11111012121 its reverse (12121011111), we get a palindrome (23232023232).

The spelling of 11111012121 in words is "eleven billion, one hundred eleven million, twelve thousand, one hundred twenty-one".