101008996358400 has 540 divisors, whose sum is σ = 402205254185812. Its totient is φ = 24863751290880.

The previous prime is 101008996358393. The next prime is 101008996358419. The reversal of 101008996358400 is 4853699800101.

101008996358400 is a `hidden beast` number, since 1 + 0 + 100 + 89 + 9 + 6 + 3 + 58 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2407909441536 + 98601086916864 = 1551744^2 + 9929808^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×101008996358400² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 754939 + ... + 14233338.

Almost surely, 2^{101008996358400} is an apocalyptic number.

101008996358400 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 101008996358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201102627092906).

101008996358400 is an abundant number, since it is smaller than the sum of its proper divisors (301196257827412).

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

101008996358400 is a wasteful number, since it uses less digits than its factorization.

101008996358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14988328 (or 14988300 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 101008996358400 in words is "one hundred one trillion, eight billion, nine hundred ninety-six million, three hundred fifty-eight thousand, four hundred".