11012111121011 has 64 divisors (see below), whose sum is σ = 14852049408000. Its totient is φ = 7885164672000.

The previous prime is 11012111121007. The next prime is 11012111121019.

11012111121011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11012111121011 - 2² = 11012111121007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11012111121019) 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, 1112217161 + ... + 1112227061.

It is an arithmetic number, because the mean of its divisors is an integer number (232063272000).

Almost surely, 2^{11012111121011} is an apocalyptic number.

11012111121011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11012111121011 is a deficient number, since it is larger than the sum of its proper divisors (3839938286989).

11012111121011 is a wasteful number, since it uses less digits than its factorization.

11012111121011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14820.

The product of its (nonzero) digits is 4, while the sum is 14.

It can be divided in two parts, 1101211 and 1121011, that multiplied together give a palindrome (1234469644321).

The spelling of 11012111121011 in words is "eleven trillion, twelve billion, one hundred eleven million, one hundred twenty-one thousand, eleven".