101261388800 has 528 divisors, whose sum is σ = 298501728000. Its totient is φ = 33575731200.

The previous prime is 101261388793. The next prime is 101261388829. The reversal of 101261388800 is 8883162101.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 508851101 + ... + 508851299.

Almost surely, 2^101261388800 is an apocalyptic number.

101261388800 is a gapful number since it is divisible by the number (10) 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 101261388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149250864000).

101261388800 is an abundant number, since it is smaller than the sum of its proper divisors (197240339200).

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

101261388800 is a wasteful number, since it uses less digits than its factorization.

101261388800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 38.

The spelling of 101261388800 in words is "one hundred one billion, two hundred sixty-one million, three hundred eighty-eight thousand, eight hundred".