101099833520400 has 1440 divisors, whose sum is σ = 419101135060608. Its totient is φ = 22247047987200.

The previous prime is 101099833520363. The next prime is 101099833520449. The reversal of 101099833520400 is 4025338990101.

It is a happy number.

101099833520400 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 9 + 9 + 83 + 3 + 520 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7546446502 + ... + 7546459898.

Almost surely, 2^{101099833520400} is an apocalyptic number.

101099833520400 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 101099833520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209550567530304).

101099833520400 is an abundant number, since it is smaller than the sum of its proper divisors (318001301540208).

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

101099833520400 is a wasteful number, since it uses less digits than its factorization.

101099833520400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13689 (or 13675 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 101099833520400 in words is "one hundred one trillion, ninety-nine billion, eight hundred thirty-three million, five hundred twenty thousand, four hundred".