101332130112000 has 2400 divisors, whose sum is σ = 404067164117760. Its totient is φ = 25236475084800.

The previous prime is 101332130111963. The next prime is 101332130112011. The reversal of 101332130112000 is 211031233101.

101332130112000 is a `hidden beast` number, since 1 + 0 + 1 + 332 + 130 + 1 + 1 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 358064063859 + ... + 358064064141.

Almost surely, 2^{101332130112000} is an apocalyptic number.

101332130112000 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 101332130112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202033582058880).

101332130112000 is an abundant number, since it is smaller than the sum of its proper divisors (302735034005760).

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

101332130112000 is an equidigital number, since it uses as much as digits as its factorization.

101332130112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 549 counting only the distinct ones).

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

Adding to 101332130112000 its reverse (211031233101), we get a palindrome (101543161345101).

The spelling of 101332130112000 in words is "one hundred one trillion, three hundred thirty-two billion, one hundred thirty million, one hundred twelve thousand".