101261320320 has 128 divisors (see below), whose sum is σ = 323165816640. Its totient is φ = 26969944064.

The previous prime is 101261320283. The next prime is 101261320333. The reversal of 101261320320 is 23023162101.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1555954 + ... + 1619726.

Almost surely, 2^101261320320 is an apocalyptic number.

101261320320 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 101261320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161582908320).

101261320320 is an abundant number, since it is smaller than the sum of its proper divisors (221904496320).

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

101261320320 is an equidigital number, since it uses as much as digits as its factorization.

101261320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64622 (or 64610 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 101261320320 its reverse (23023162101), we get a palindrome (124284482421).

The spelling of 101261320320 in words is "one hundred one billion, two hundred sixty-one million, three hundred twenty thousand, three hundred twenty".