101361799567360 has 384 divisors, whose sum is σ = 266568676920000. Its totient is φ = 36819890601984.

The previous prime is 101361799567349. The next prime is 101361799567397. The reversal of 101361799567360 is 63765997163101.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 101361799567292 and 101361799567301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8970858991 + ... + 8970870289.

Almost surely, 2^{101361799567360} is an apocalyptic number.

101361799567360 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 101361799567360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133284338460000).

101361799567360 is an abundant number, since it is smaller than the sum of its proper divisors (165206877352640).

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

101361799567360 is a wasteful number, since it uses less digits than its factorization.

101361799567360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13149 (or 13129 counting only the distinct ones).

The product of its (nonzero) digits is 38578680, while the sum is 64.

The spelling of 101361799567360 in words is "one hundred one trillion, three hundred sixty-one billion, seven hundred ninety-nine million, five hundred sixty-seven thousand, three hundred sixty".