101617393920 has 864 divisors, whose sum is σ = 400962551808. Its totient is φ = 21477851136.

The previous prime is 101617393897. The next prime is 101617393931. The reversal of 101617393920 is 29393716101.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 800136897 + ... + 800137023.

Almost surely, 2^101617393920 is an apocalyptic number.

101617393920 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 101617393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200481275904).

101617393920 is an abundant number, since it is smaller than the sum of its proper divisors (299345157888).

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

101617393920 is a wasteful number, since it uses less digits than its factorization.

101617393920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The spelling of 101617393920 in words is "one hundred one billion, six hundred seventeen million, three hundred ninety-three thousand, nine hundred twenty".