101250510432 has 96 divisors (see below), whose sum is σ = 266847436800. Its totient is φ = 33615203328.

The previous prime is 101250510391. The next prime is 101250510433. The reversal of 101250510432 is 234015052101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101250510433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44078308 + ... + 44080604.

It is an arithmetic number, because the mean of its divisors is an integer number (2779660800).

Almost surely, 2^101250510432 is an apocalyptic number.

101250510432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101250510432 is an abundant number, since it is smaller than the sum of its proper divisors (165596926368).

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

101250510432 is a wasteful number, since it uses less digits than its factorization.

101250510432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3948 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 101250510432 its reverse (234015052101), we get a palindrome (335265562533).

The spelling of 101250510432 in words is "one hundred one billion, two hundred fifty million, five hundred ten thousand, four hundred thirty-two".