101365992466128 has 320 divisors, whose sum is σ = 332239210329600. Its totient is φ = 29313434787840.

The previous prime is 101365992466093. The next prime is 101365992466147. The reversal of 101365992466128 is 821664299563101.

101365992466128 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 6 + 5 + 9 + 9 + 2 + 4 + 6 + 612 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

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, 66940893 + ... + 68438403.

It is an arithmetic number, because the mean of its divisors is an integer number (1038247532280).

Almost surely, 2^{101365992466128} is an apocalyptic number.

101365992466128 is a gapful number since it is divisible by the number (18) 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 101365992466128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166119605164800).

101365992466128 is an abundant number, since it is smaller than the sum of its proper divisors (230873217863472).

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

101365992466128 is a wasteful number, since it uses less digits than its factorization.

101365992466128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498267 (or 1498255 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 101365992466128 in words is "one hundred one trillion, three hundred sixty-five billion, nine hundred ninety-two million, four hundred sixty-six thousand, one hundred twenty-eight".