2114102014112 has 72 divisors (see below), whose sum is σ = 4607826602400. Its totient is φ = 954041869440.

The previous prime is 2114102014111. The next prime is 2114102014127.

2114102014112 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2114102014111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1425812 + ... + 2502227.

It is an arithmetic number, because the mean of its divisors is an integer number (63997591700).

Almost surely, 2^{2114102014112} is an apocalyptic number.

2114102014112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2114102014112 is an abundant number, since it is smaller than the sum of its proper divisors (2493724588288).

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

2114102014112 is a wasteful number, since it uses less digits than its factorization.

2114102014112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3928210 (or 3928191 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The spelling of 2114102014112 in words is "two trillion, one hundred fourteen billion, one hundred two million, fourteen thousand, one hundred twelve".