101970380453820 has 288 divisors, whose sum is σ = 301570308264960. Its totient is φ = 25740902330880.

The previous prime is 101970380453789. The next prime is 101970380453839. The reversal of 101970380453820 is 28354083079101.

It is a congruent number.

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, 1398523165 + ... + 1398596075.

It is an arithmetic number, because the mean of its divisors is an integer number (1047119125920).

Almost surely, 2^{101970380453820} is an apocalyptic number.

101970380453820 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 101970380453820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150785154132480).

101970380453820 is an abundant number, since it is smaller than the sum of its proper divisors (199599927811140).

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

101970380453820 is a wasteful number, since it uses less digits than its factorization.

101970380453820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73425 (or 73400 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 101970380453820 in words is "one hundred one trillion, nine hundred seventy billion, three hundred eighty million, four hundred fifty-three thousand, eight hundred twenty".