101500252672 has 320 divisors, whose sum is σ = 265907980800. Its totient is φ = 38388252672.

The previous prime is 101500252657. The next prime is 101500252681. The reversal of 101500252672 is 276252005101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52508218 + ... + 52510150.

It is an arithmetic number, because the mean of its divisors is an integer number (830962440).

Almost surely, 2^101500252672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101500252672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132953990400).

101500252672 is an abundant number, since it is smaller than the sum of its proper divisors (164407728128).

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

101500252672 is an equidigital number, since it uses as much as digits as its factorization.

101500252672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2008 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

Adding to 101500252672 its reverse (276252005101), we get a palindrome (377752257773).

The spelling of 101500252672 in words is "one hundred one billion, five hundred million, two hundred fifty-two thousand, six hundred seventy-two".