101037936943872 has 576 divisors, whose sum is σ = 321095930265600. Its totient is φ = 31268249026560.

The previous prime is 101037936943859. The next prime is 101037936943877. The reversal of 101037936943872 is 278349639730101.

It is a happy number.

101037936943872 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 3 + 79 + 3 + 69 + 438 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (101037936943877) 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, 975528633 + ... + 975632199.

Almost surely, 2^{101037936943872} is an apocalyptic number.

101037936943872 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 101037936943872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160547965132800).

101037936943872 is an abundant number, since it is smaller than the sum of its proper divisors (220057993321728).

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

101037936943872 is a wasteful number, since it uses less digits than its factorization.

101037936943872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103809 (or 103789 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 101037936943872 in words is "one hundred one trillion, thirty-seven billion, nine hundred thirty-six million, nine hundred forty-three thousand, eight hundred seventy-two".