101510990380800 has 5184 divisors, whose sum is σ = 520110204149760. Its totient is φ = 18831605760000.

The previous prime is 101510990380673. The next prime is 101510990380817. The reversal of 101510990380800 is 8083099015101.

101510990380800 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 109 + 90 + 380 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 575 ways as a sum of consecutive naturals, for example, 58983723940 + ... + 58983725660.

Almost surely, 2^{101510990380800} is an apocalyptic number.

101510990380800 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 101510990380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260055102074880).

101510990380800 is an abundant number, since it is smaller than the sum of its proper divisors (418599213768960).

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

101510990380800 is a wasteful number, since it uses less digits than its factorization.

101510990380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 45.

The spelling of 101510990380800 in words is "one hundred one trillion, five hundred ten billion, nine hundred ninety million, three hundred eighty thousand, eight hundred".