100199617216560 has 120 divisors (see below), whose sum is σ = 336513839485824. Its totient is φ = 26719093954560.

The previous prime is 100199617216537. The next prime is 100199617216561. The reversal of 100199617216560 is 65612716991001.

100199617216560 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 9 + 9 + 6 + 1 + 72 + 1 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 100199617216497 and 100199617216506.

It is not an unprimeable number, because it can be changed into a prime (100199617216561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22045240 + ... + 26199080.

Almost surely, 2^{100199617216560} is an apocalyptic number.

100199617216560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100199617216560 is an abundant number, since it is smaller than the sum of its proper divisors (236314222269264).

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

100199617216560 is a wasteful number, since it uses less digits than its factorization.

100199617216560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4187363 (or 4187354 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 100199617216560 in words is "one hundred trillion, one hundred ninety-nine billion, six hundred seventeen million, two hundred sixteen thousand, five hundred sixty".