100616551656552 has 48 divisors (see below), whose sum is σ = 272647418998500. Its totient is φ = 33521095689216.

The previous prime is 100616551656547. The next prime is 100616551656553. The reversal of 100616551656552 is 255656155616001.

100616551656552 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 1 + 65 + 5 + 16 + 565 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98111124871236 + 2505426785316 = 9905106^2 + 1582854^2 .

It is not an unprimeable number, because it can be changed into a prime (100616551656553) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 369756027 + ... + 370028042.

Almost surely, 2^{100616551656552} is an apocalyptic number.

100616551656552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100616551656552 is an abundant number, since it is smaller than the sum of its proper divisors (172030867341948).

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

100616551656552 is a wasteful number, since it uses less digits than its factorization.

100616551656552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739785970 (or 739785963 counting only the distinct ones).

The product of its (nonzero) digits is 8100000, while the sum is 54.

The spelling of 100616551656552 in words is "one hundred trillion, six hundred sixteen billion, five hundred fifty-one million, six hundred fifty-six thousand, five hundred fifty-two".