2102114112012 has 72 divisors (see below), whose sum is σ = 5356172203200. Its totient is φ = 695109027168.

The previous prime is 2102114112011. The next prime is 2102114112019.

2102114112012 is a `hidden beast` number, since 2 + 10 + 211 + 411 + 20 + 12 = 666.

2102114112012 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2102114112011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6133203 + ... + 6466869.

It is an arithmetic number, because the mean of its divisors is an integer number (74391280600).

Almost surely, 2^{2102114112012} is an apocalyptic number.

It is an amenable number.

2102114112012 is an abundant number, since it is smaller than the sum of its proper divisors (3254058091188).

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

2102114112012 is a wasteful number, since it uses less digits than its factorization.

2102114112012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335075 (or 335070 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The spelling of 2102114112012 in words is "two trillion, one hundred two billion, one hundred fourteen million, one hundred twelve thousand, twelve".