2101163900832 has 672 divisors, whose sum is σ = 6923006737920. Its totient is φ = 624615598080.

The previous prime is 2101163900821. The next prime is 2101163900867. The reversal of 2101163900832 is 2380093611012.

2101163900832 is a `hidden beast` number, since 2 + 1 + 0 + 11 + 639 + 0 + 0 + 8 + 3 + 2 = 666.

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 111 ways as a sum of consecutive naturals, for example, 508385038 + ... + 508389170.

It is an arithmetic number, because the mean of its divisors is an integer number (10302093360).

Almost surely, 2^{2101163900832} 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 2101163900832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3461503368960).

2101163900832 is an abundant number, since it is smaller than the sum of its proper divisors (4821842837088).

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

2101163900832 is a wasteful number, since it uses less digits than its factorization.

2101163900832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4248 (or 4225 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 2101163900832 in words is "two trillion, one hundred one billion, one hundred sixty-three million, nine hundred thousand, eight hundred thirty-two".