101181470400 has 1008 divisors, whose sum is σ = 400931481600. Its totient is φ = 24086937600.

The previous prime is 101181470399. The next prime is 101181470477. The reversal of 101181470400 is 4074181101.

101181470400 is a `hidden beast` number, since 1 + 0 + 118 + 147 + 0 + 400 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 508449501 + ... + 508449699.

Almost surely, 2^101181470400 is an apocalyptic number.

101181470400 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 101181470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200465740800).

101181470400 is an abundant number, since it is smaller than the sum of its proper divisors (299750011200).

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

101181470400 is a wasteful number, since it uses less digits than its factorization.

101181470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The spelling of 101181470400 in words is "one hundred one billion, one hundred eighty-one million, four hundred seventy thousand, four hundred".