101374990992 has 320 divisors, whose sum is σ = 331984465920. Its totient is φ = 29317939200.

The previous prime is 101374990943. The next prime is 101374990993. The reversal of 101374990992 is 299099473101.

It is a happy number.

101374990992 is a `hidden beast` number, since 10 + 137 + 499 + 0 + 9 + 9 + 2 = 666.

It is a super-2 number, since 2×101374990992² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (101374990993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70058013 + ... + 70059459.

It is an arithmetic number, because the mean of its divisors is an integer number (1037451456).

Almost surely, 2^101374990992 is an apocalyptic number.

101374990992 is a gapful number since it is divisible by the number (12) 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 101374990992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165992232960).

101374990992 is an abundant number, since it is smaller than the sum of its proper divisors (230609474928).

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

101374990992 is a wasteful number, since it uses less digits than its factorization.

101374990992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The spelling of 101374990992 in words is "one hundred one billion, three hundred seventy-four million, nine hundred ninety thousand, nine hundred ninety-two".