101075900933952 has 1008 divisors, whose sum is σ = 342826862264640. Its totient is φ = 28387104915456.

The previous prime is 101075900933899. The next prime is 101075900933981. The reversal of 101075900933952 is 259339009570101.

101075900933952 is a `hidden beast` number, since 1 + 0 + 10 + 7 + 590 + 0 + 9 + 3 + 39 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×101075900933952² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 266691031299 + ... + 266691031677.

Almost surely, 2^{101075900933952} is an apocalyptic number.

101075900933952 is a gapful number since it is divisible by the number (12) 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 101075900933952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171413431132320).

101075900933952 is an abundant number, since it is smaller than the sum of its proper divisors (241750961330688).

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

101075900933952 is a wasteful number, since it uses less digits than its factorization.

101075900933952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 2296350, while the sum is 54.

The spelling of 101075900933952 in words is "one hundred one trillion, seventy-five billion, nine hundred million, nine hundred thirty-three thousand, nine hundred fifty-two".