101024000032 has 48 divisors (see below), whose sum is σ = 208820324160. Its totient is φ = 48042263808.

The previous prime is 101023999963. The next prime is 101024000039. The reversal of 101024000032 is 230000420101.

It is a junction number, because it is equal to n+sod(n) for n = 101023999976 and 101024000021.

It is not an unprimeable number, because it can be changed into a prime (101024000039) 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 7 ways as a sum of consecutive naturals, for example, 750228 + ... + 874579.

It is an arithmetic number, because the mean of its divisors is an integer number (4350423420).

Almost surely, 2^101024000032 is an apocalyptic number.

It is an amenable number.

101024000032 is an abundant number, since it is smaller than the sum of its proper divisors (107796324128).

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

101024000032 is a wasteful number, since it uses less digits than its factorization.

101024000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624913 (or 1624905 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 101024000032 its reverse (230000420101), we get a palindrome (331024420133).

The spelling of 101024000032 in words is "one hundred one billion, twenty-four million, thirty-two", and thus it is an aban number.