101088998400 has 792 divisors, whose sum is σ = 384001151520. Its totient is φ = 23250862080.

The previous prime is 101088998393. The next prime is 101088998449. The reversal of 101088998400 is 4899880101.

101088998400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 101088998400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1384780764 + ... + 1384780836.

Almost surely, 2^101088998400 is an apocalyptic number.

101088998400 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 101088998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192000575760).

101088998400 is an abundant number, since it is smaller than the sum of its proper divisors (282912153120).

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

101088998400 is a wasteful number, since it uses less digits than its factorization.

101088998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 48.

The spelling of 101088998400 in words is "one hundred one billion, eighty-eight million, nine hundred ninety-eight thousand, four hundred".