101821331314560 has 512 divisors, whose sum is σ = 382815330992640. Its totient is φ = 22694400000000.

The previous prime is 101821331314541. The next prime is 101821331314561. The reversal of 101821331314560 is 65413133128101.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101821331314561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68175810 + ... + 69653310.

It is an arithmetic number, because the mean of its divisors is an integer number (747686193345).

Almost surely, 2^{101821331314560} is an apocalyptic number.

101821331314560 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 101821331314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191407665496320).

101821331314560 is an abundant number, since it is smaller than the sum of its proper divisors (280993999678080).

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

101821331314560 is a wasteful number, since it uses less digits than its factorization.

101821331314560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477798 (or 1477786 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 101821331314560 in words is "one hundred one trillion, eight hundred twenty-one billion, three hundred thirty-one million, three hundred fourteen thousand, five hundred sixty".