100801930215168 has 576 divisors, whose sum is σ = 371523038924800. Its totient is φ = 26248590950400.

The previous prime is 100801930215163. The next prime is 100801930215179. The reversal of 100801930215168 is 861512039108001.

100801930215168 is a `hidden beast` number, since 1 + 0 + 0 + 80 + 1 + 9 + 30 + 21 + 516 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-4 number, since 4×100801930215168⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100801930215163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48676068 + ... + 50704668.

Almost surely, 2^{100801930215168} is an apocalyptic number.

100801930215168 is a gapful number since it is divisible by the number (18) 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 100801930215168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185761519462400).

100801930215168 is an abundant number, since it is smaller than the sum of its proper divisors (270721108709632).

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

100801930215168 is a wasteful number, since it uses less digits than its factorization.

100801930215168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028725 (or 2028705 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 100801930215168 in words is "one hundred trillion, eight hundred one billion, nine hundred thirty million, two hundred fifteen thousand, one hundred sixty-eight".