100124202810060 has 1152 divisors, whose sum is σ = 390314645360640. Its totient is φ = 21181581388800.

The previous prime is 100124202810043. The next prime is 100124202810061. The reversal of 100124202810060 is 60018202421001.

100124202810060 is a `hidden beast` number, since 100 + 1 + 2 + 420 + 2 + 81 + 0 + 0 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100124202810061) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6483460699 + ... + 6483476141.

It is an arithmetic number, because the mean of its divisors is an integer number (338814796320).

Almost surely, 2^{100124202810060} is an apocalyptic number.

100124202810060 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 100124202810060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195157322680320).

100124202810060 is an abundant number, since it is smaller than the sum of its proper divisors (290190442550580).

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

100124202810060 is a wasteful number, since it uses less digits than its factorization.

100124202810060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16001 (or 15987 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 100124202810060 in words is "one hundred trillion, one hundred twenty-four billion, two hundred two million, eight hundred ten thousand, sixty".