101812291920 has 240 divisors, whose sum is σ = 366708850560. Its totient is φ = 25235518464.

The previous prime is 101812291913. The next prime is 101812291927. The reversal of 101812291920 is 29192218101.

It is an interprime number because it is at equal distance from previous prime (101812291913) and next prime (101812291927).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101812291927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 654829 + ... + 795251.

It is an arithmetic number, because the mean of its divisors is an integer number (1527953544).

Almost surely, 2^101812291920 is an apocalyptic number.

101812291920 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 101812291920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183354425280).

101812291920 is an abundant number, since it is smaller than the sum of its proper divisors (264896558640).

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

101812291920 is a wasteful number, since it uses less digits than its factorization.

101812291920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140514 (or 140505 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 101812291920 in words is "one hundred one billion, eight hundred twelve million, two hundred ninety-one thousand, nine hundred twenty".