100114400230400 has 264 divisors, whose sum is σ = 257596543703520. Its totient is φ = 38532826071040.

The previous prime is 100114400230357. The next prime is 100114400230459. The reversal of 100114400230400 is 4032004411001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217293077 + ... + 217753323.

Almost surely, 2^{100114400230400} is an apocalyptic number.

100114400230400 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 100114400230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128798271851760).

100114400230400 is an abundant number, since it is smaller than the sum of its proper divisors (157482143473120).

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

100114400230400 is a wasteful number, since it uses less digits than its factorization.

100114400230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460599 (or 460576 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 100114400230400 its reverse (4032004411001), we get a palindrome (104146404641401).

The spelling of 100114400230400 in words is "one hundred trillion, one hundred fourteen billion, four hundred million, two hundred thirty thousand, four hundred".