101395537972080 has 640 divisors, whose sum is σ = 359768713328640. Its totient is φ = 23383639572480.

The previous prime is 101395537972061. The next prime is 101395537972111. The reversal of 101395537972080 is 80279735593101.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9055593042 + ... + 9055604238.

It is an arithmetic number, because the mean of its divisors is an integer number (562138614576).

Almost surely, 2^{101395537972080} is an apocalyptic number.

101395537972080 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 101395537972080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179884356664320).

101395537972080 is an abundant number, since it is smaller than the sum of its proper divisors (258373175356560).

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

101395537972080 is a wasteful number, since it uses less digits than its factorization.

101395537972080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12049 (or 12043 counting only the distinct ones).

The product of its (nonzero) digits is 14288400, while the sum is 60.

The spelling of 101395537972080 in words is "one hundred one trillion, three hundred ninety-five billion, five hundred thirty-seven million, nine hundred seventy-two thousand, eighty".