11012100121011 has 32 divisors (see below), whose sum is σ = 16027040908800. Its totient is φ = 6670067731200.

The previous prime is 11012100120979. The next prime is 11012100121013.

11012100121011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11012100121011 - 2⁵ = 11012100120979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11012100121013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 438524346 + ... + 438549456.

It is an arithmetic number, because the mean of its divisors is an integer number (500845028400).

Almost surely, 2^{11012100121011} is an apocalyptic number.

11012100121011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11012100121011 is a deficient number, since it is larger than the sum of its proper divisors (5014940787789).

11012100121011 is a wasteful number, since it uses less digits than its factorization.

11012100121011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32427.

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

It can be divided in two parts, 11012100 and 121011, that added together give a palindrome (11133111).

The spelling of 11012100121011 in words is "eleven trillion, twelve billion, one hundred million, one hundred twenty-one thousand, eleven".