100490214988800 has 4224 divisors, whose sum is σ = 475897040640000. Its totient is φ = 20208502702080.

The previous prime is 100490214988789. The next prime is 100490214988841. The reversal of 100490214988800 is 8889412094001.

It is a happy number.

100490214988800 is a `hidden beast` number, since 1 + 0 + 0 + 490 + 2 + 149 + 8 + 8 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 162342834891 + ... + 162342835509.

Almost surely, 2^{100490214988800} is an apocalyptic number.

100490214988800 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 100490214988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237948520320000).

100490214988800 is an abundant number, since it is smaller than the sum of its proper divisors (375406825651200).

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

100490214988800 is a wasteful number, since it uses less digits than its factorization.

100490214988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 100490214988800 in words is "one hundred trillion, four hundred ninety billion, two hundred fourteen million, nine hundred eighty-eight thousand, eight hundred".