101122312320000 has 1320 divisors, whose sum is σ = 377952138001152. Its totient is φ = 26015539200000.

The previous prime is 101122312319923. The next prime is 101122312320041. The reversal of 101122312320000 is 23213221101.

101122312320000 is a `hidden beast` number, since 1 + 0 + 11 + 22 + 312 + 320 + 0 + 0 + 0 = 666.

101122312320000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19221117370 + ... + 19221122630.

Almost surely, 2^{101122312320000} is an apocalyptic number.

101122312320000 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 101122312320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188976069000576).

101122312320000 is an abundant number, since it is smaller than the sum of its proper divisors (276829825681152).

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

101122312320000 is an equidigital number, since it uses as much as digits as its factorization.

101122312320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5425 (or 5389 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101122312320000 its reverse (23213221101), we get a palindrome (101145525541101).

The spelling of 101122312320000 in words is "one hundred one trillion, one hundred twenty-two billion, three hundred twelve million, three hundred twenty thousand".