101014963920 has 840 divisors, whose sum is σ = 393018133176. Its totient is φ = 24105848832.

The previous prime is 101014963877. The next prime is 101014963939. The reversal of 101014963920 is 29369410101.

It is a happy number.

101014963920 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 14 + 9 + 639 + 2 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 52521638976 + 48493324944 = 229176^2 + 220212^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 364674822 + ... + 364675098.

Almost surely, 2^101014963920 is an apocalyptic number.

101014963920 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 101014963920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196509066588).

101014963920 is an abundant number, since it is smaller than the sum of its proper divisors (292003169256).

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

101014963920 is a wasteful number, since it uses less digits than its factorization.

101014963920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 101014963920 in words is "one hundred one billion, fourteen million, nine hundred sixty-three thousand, nine hundred twenty".