101332945401604 has 192 divisors, whose sum is σ = 223665007104000. Its totient is φ = 39190287532032.

The previous prime is 101332945401601. The next prime is 101332945401629. The reversal of 101332945401604 is 406104549233101.

It is not an unprimeable number, because it can be changed into a prime (101332945401601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 200486797 + ... + 200991595.

It is an arithmetic number, because the mean of its divisors is an integer number (1164921912000).

Almost surely, 2^{101332945401604} is an apocalyptic number.

101332945401604 is a gapful number since it is divisible by the number (14) 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 101332945401604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111832503552000).

101332945401604 is an abundant number, since it is smaller than the sum of its proper divisors (122332061702396).

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

101332945401604 is a wasteful number, since it uses less digits than its factorization.

101332945401604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505062 (or 505060 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 101332945401604 in words is "one hundred one trillion, three hundred thirty-two billion, nine hundred forty-five million, four hundred one thousand, six hundred four".