2132005100160 has 512 divisors, whose sum is σ = 7644772638720. Its totient is φ = 501454356480.

The previous prime is 2132005100143. The next prime is 2132005100179. The reversal of 2132005100160 is 610015002312.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 922545405 + ... + 922547715.

It is an arithmetic number, because the mean of its divisors is an integer number (14931196560).

Almost surely, 2^{2132005100160} is an apocalyptic number.

2132005100160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132005100160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3822386319360).

2132005100160 is an abundant number, since it is smaller than the sum of its proper divisors (5512767538560).

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

2132005100160 is a wasteful number, since it uses less digits than its factorization.

2132005100160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3976 (or 3964 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The spelling of 2132005100160 in words is "two trillion, one hundred thirty-two billion, five million, one hundred thousand, one hundred sixty".