10108138521600 has 1320 divisors, whose sum is σ = 43197976069248. Its totient is φ = 2287661875200.

The previous prime is 10108138521589. The next prime is 10108138521617. The reversal of 10108138521600 is 612583180101.

10108138521600 is a `hidden beast` number, since 1 + 0 + 10 + 8 + 1 + 38 + 5 + 2 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1495062220 + ... + 1495068980.

Almost surely, 2^{10108138521600} is an apocalyptic number.

10108138521600 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 10108138521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21598988034624).

10108138521600 is an abundant number, since it is smaller than the sum of its proper divisors (33089837547648).

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

10108138521600 is a wasteful number, since it uses less digits than its factorization.

10108138521600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6913 (or 6881 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 10108138521600 in words is "ten trillion, one hundred eight billion, one hundred thirty-eight million, five hundred twenty-one thousand, six hundred".