1012100111011 has 16 divisors (see below), whose sum is σ = 1131203017728. Its totient is φ = 897780038400.

The previous prime is 1012100110997. The next prime is 1012100111027. The reversal of 1012100111011 is 1101110012101.

It is a cyclic number.

It is not a de Polignac number, because 1012100111011 - 2⁵ = 1012100110979 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1012100181011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6604155 + ... + 6755668.

It is an arithmetic number, because the mean of its divisors is an integer number (70700188608).

Almost surely, 2^{1012100111011} is an apocalyptic number.

1012100111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1012100111011 is a deficient number, since it is larger than the sum of its proper divisors (119102906717).

1012100111011 is a wasteful number, since it uses less digits than its factorization.

1012100111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13360002.

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

Adding to 1012100111011 its reverse (1101110012101), we get a palindrome (2113210123112).

The spelling of 1012100111011 in words is "one trillion, twelve billion, one hundred million, one hundred eleven thousand, eleven".