101232253920 has 192 divisors, whose sum is σ = 364711818240. Its totient is φ = 23121297408.

The previous prime is 101232253891. The next prime is 101232254021. The reversal of 101232253920 is 29352232101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4723549 + ... + 4744931.

It is an arithmetic number, because the mean of its divisors is an integer number (1899540720).

Almost surely, 2^101232253920 is an apocalyptic number.

101232253920 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 101232253920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182355909120).

101232253920 is an abundant number, since it is smaller than the sum of its proper divisors (263479564320).

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

101232253920 is a wasteful number, since it uses less digits than its factorization.

101232253920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22817 (or 22809 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 101232253920 in words is "one hundred one billion, two hundred thirty-two million, two hundred fifty-three thousand, nine hundred twenty".