101978293920 has 192 divisors, whose sum is σ = 327499200000. Its totient is φ = 26668302336.

The previous prime is 101978293919. The next prime is 101978293973. The reversal of 101978293920 is 29392879101.

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, 5641056 + ... + 5659104.

It is an arithmetic number, because the mean of its divisors is an integer number (1705725000).

Almost surely, 2^101978293920 is an apocalyptic number.

101978293920 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 101978293920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163749600000).

101978293920 is an abundant number, since it is smaller than the sum of its proper divisors (225520906080).

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

101978293920 is a wasteful number, since it uses less digits than its factorization.

101978293920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18295 (or 18287 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The spelling of 101978293920 in words is "one hundred one billion, nine hundred seventy-eight million, two hundred ninety-three thousand, nine hundred twenty".