2100694164372 has 144 divisors (see below), whose sum is σ = 5592084864912. Its totient is φ = 664203939840.

The previous prime is 2100694164343. The next prime is 2100694164389. The reversal of 2100694164372 is 2734614960012.

2100694164372 is a `hidden beast` number, since 2 + 100 + 69 + 416 + 4 + 3 + 72 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 87660997776 + 2013033166596 = 296076^2 + 1418814^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9067078 + ... + 9295874.

It is an arithmetic number, because the mean of its divisors is an integer number (38833922673).

Almost surely, 2^{2100694164372} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100694164372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796042432456).

2100694164372 is an abundant number, since it is smaller than the sum of its proper divisors (3491390700540).

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

2100694164372 is a wasteful number, since it uses less digits than its factorization.

2100694164372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229018 (or 229013 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 2100694164372 in words is "two trillion, one hundred billion, six hundred ninety-four million, one hundred sixty-four thousand, three hundred seventy-two".