101331021132000 has 288 divisors, whose sum is σ = 392316867712224. Its totient is φ = 24565095936000.

The previous prime is 101331021131993. The next prime is 101331021132041. The reversal of 101331021132000 is 231120133101.

101331021132000 is a `hidden beast` number, since 1 + 0 + 1 + 331 + 0 + 2 + 11 + 320 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×101331021132000² (a number of 29 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 127547209 + ... + 128339208.

It is an arithmetic number, because the mean of its divisors is an integer number (1362211346223).

Almost surely, 2^{101331021132000} is an apocalyptic number.

101331021132000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101331021132000 is an abundant number, since it is smaller than the sum of its proper divisors (290985846580224).

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

101331021132000 is a wasteful number, since it uses less digits than its factorization.

101331021132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255886459 (or 255886438 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101331021132000 its reverse (231120133101), we get a palindrome (101562141265101).

The spelling of 101331021132000 in words is "one hundred one trillion, three hundred thirty-one billion, twenty-one million, one hundred thirty-two thousand".