10012102111011 has 256 divisors, whose sum is σ = 18597127127040. Its totient is φ = 4624229191680.

The previous prime is 10012102111003. The next prime is 10012102111027. The reversal of 10012102111011 is 11011120121001.

It is not a de Polignac number, because 10012102111011 - 2³ = 10012102111003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10012102111031) 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 255 ways as a sum of consecutive naturals, for example, 2837091495 + ... + 2837095023.

It is an arithmetic number, because the mean of its divisors is an integer number (72645027840).

Almost surely, 2^{10012102111011} is an apocalyptic number.

10012102111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10012102111011 is a deficient number, since it is larger than the sum of its proper divisors (8585025016029).

10012102111011 is a wasteful number, since it uses less digits than its factorization.

10012102111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3906.

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

Adding to 10012102111011 its reverse (11011120121001), we get a palindrome (21023222232012).

It can be divided in two parts, 1001 and 2102111011, that added together give a palindrome (2102112012).

The spelling of 10012102111011 in words is "ten trillion, twelve billion, one hundred two million, one hundred eleven thousand, eleven".