100001114310400 has 216 divisors, whose sum is σ = 259616780337600. Its totient is φ = 38091277025280.

The previous prime is 100001114310373. The next prime is 100001114310413. The reversal of 100001114310400 is 4013411100001.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 6637026 + ... + 15622174.

It is an arithmetic number, because the mean of its divisors is an integer number (1201929538600).

Almost surely, 2^{100001114310400} is an apocalyptic number.

100001114310400 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 100001114310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129808390168800).

100001114310400 is an abundant number, since it is smaller than the sum of its proper divisors (159615666027200).

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

100001114310400 is an equidigital number, since it uses as much as digits as its factorization.

100001114310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8985259 (or 8985240 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 100001114310400 its reverse (4013411100001), we get a palindrome (104014525410401).

The spelling of 100001114310400 in words is "one hundred trillion, one billion, one hundred fourteen million, three hundred ten thousand, four hundred".