101488631200 has 72 divisors (see below), whose sum is σ = 270282700800. Its totient is φ = 36904953600.

The previous prime is 101488631173. The next prime is 101488631207. The reversal of 101488631200 is 2136884101.

It is a super-2 number, since 2×101488631200² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101488631207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5757600 + ... + 5775199.

It is an arithmetic number, because the mean of its divisors is an integer number (3753926400).

Almost surely, 2^101488631200 is an apocalyptic number.

101488631200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101488631200 is an abundant number, since it is smaller than the sum of its proper divisors (168794069600).

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

101488631200 is a wasteful number, since it uses less digits than its factorization.

101488631200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11532830 (or 11532817 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The spelling of 101488631200 in words is "one hundred one billion, four hundred eighty-eight million, six hundred thirty-one thousand, two hundred".