2157611682100 has 72 divisors (see below), whose sum is σ = 5371222969728. Its totient is φ = 736939766400.

The previous prime is 2157611682089. The next prime is 2157611682103. The reversal of 2157611682100 is 12861167512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2157611682103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5675791 + ... + 6043990.

It is an arithmetic number, because the mean of its divisors is an integer number (74600319024).

Almost surely, 2^{2157611682100} is an apocalyptic number.

2157611682100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2157611682100 is an abundant number, since it is smaller than the sum of its proper divisors (3213611287628).

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

2157611682100 is a wasteful number, since it uses less digits than its factorization.

2157611682100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11720065 (or 11720058 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 40.

The spelling of 2157611682100 in words is "two trillion, one hundred fifty-seven billion, six hundred eleven million, six hundred eighty-two thousand, one hundred".