101362939920 has 480 divisors, whose sum is σ = 389819049984. Its totient is φ = 24272524800.

The previous prime is 101362939919. The next prime is 101362939927. The reversal of 101362939920 is 29939263101.

101362939920 is a `hidden beast` number, since 1 + 0 + 13 + 629 + 3 + 9 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (101362939927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17745865 + ... + 17751575.

Almost surely, 2^101362939920 is an apocalyptic number.

101362939920 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 101362939920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194909524992).

101362939920 is an abundant number, since it is smaller than the sum of its proper divisors (288456110064).

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

101362939920 is a wasteful number, since it uses less digits than its factorization.

101362939920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5833 (or 5815 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 101362939920 in words is "one hundred one billion, three hundred sixty-two million, nine hundred thirty-nine thousand, nine hundred twenty".