2100946813200 has 180 divisors, whose sum is σ = 7468695636948. Its totient is φ = 546587750400.

The previous prime is 2100946813183. The next prime is 2100946813243. The reversal of 2100946813200 is 23186490012.

2100946813200 is a `hidden beast` number, since 210 + 0 + 9 + 46 + 81 + 320 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1051125259536 + 1049821553664 = 1025244^2 + 1024608^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6969429 + ... + 7264628.

Almost surely, 2^{2100946813200} is an apocalyptic number.

2100946813200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100946813200 is an abundant number, since it is smaller than the sum of its proper divisors (5367748823748).

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

2100946813200 is a wasteful number, since it uses less digits than its factorization.

2100946813200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14234122 (or 14234108 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 2100946813200 in words is "two trillion, one hundred billion, nine hundred forty-six million, eight hundred thirteen thousand, two hundred".