2011102011102 has 16 divisors (see below), whose sum is σ = 4197082458240. Its totient is φ = 641220931032.

The previous prime is 2011102011101. The next prime is 2011102011131.

2011102011102 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011102011101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7286601352 + ... + 7286601627.

It is an arithmetic number, because the mean of its divisors is an integer number (262317653640).

Almost surely, 2^{2011102011102} is an apocalyptic number.

2011102011102 is an abundant number, since it is smaller than the sum of its proper divisors (2185980447138).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2011102011102 is a wasteful number, since it uses less digits than its factorization.

2011102011102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14573203007.

The product of its (nonzero) digits is 8, while the sum is 12.

The spelling of 2011102011102 in words is "two trillion, eleven billion, one hundred two million, eleven thousand, one hundred two".