101215758672 has 180 divisors, whose sum is σ = 330034831776. Its totient is φ = 28872789120.

The previous prime is 101215758661. The next prime is 101215758673. The reversal of 101215758672 is 276857512101.

101215758672 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 1 + 575 + 8 + 6 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101215758673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4554147 + ... + 4576317.

Almost surely, 2^101215758672 is an apocalyptic number.

101215758672 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 101215758672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165017415888).

101215758672 is an abundant number, since it is smaller than the sum of its proper divisors (228819073104).

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

101215758672 is a wasteful number, since it uses less digits than its factorization.

101215758672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22846 (or 22830 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 45.

The spelling of 101215758672 in words is "one hundred one billion, two hundred fifteen million, seven hundred fifty-eight thousand, six hundred seventy-two".