100990986001920 has 3360 divisors, whose sum is σ = 440125057639872. Its totient is φ = 21743314403328.

The previous prime is 100990986001891. The next prime is 100990986001993. The reversal of 100990986001920 is 29100689099001.

100990986001920 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 9 + 0 + 9 + 8 + 600 + 1 + 9 + 20 = 666.

100990986001920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3360).

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 335 ways as a sum of consecutive naturals, for example, 893725539784 + ... + 893725539896.

Almost surely, 2^{100990986001920} is an apocalyptic number.

100990986001920 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 100990986001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220062528819936).

100990986001920 is an abundant number, since it is smaller than the sum of its proper divisors (339134071637952).

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

100990986001920 is an frugal number, since it uses more digits than its factorization.

100990986001920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 54.

The spelling of 100990986001920 in words is "one hundred trillion, nine hundred ninety billion, nine hundred eighty-six million, one thousand, nine hundred twenty".