101415050400 has 144 divisors (see below), whose sum is σ = 349524129024. Its totient is φ = 25453178880.

The previous prime is 101415050323. The next prime is 101415050411. The reversal of 101415050400 is 4050514101.

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, 1202032 + ... + 1283631.

It is an arithmetic number, because the mean of its divisors is an integer number (2427250896).

Almost surely, 2^101415050400 is an apocalyptic number.

101415050400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101415050400 is an abundant number, since it is smaller than the sum of its proper divisors (248109078624).

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

101415050400 is a wasteful number, since it uses less digits than its factorization.

101415050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2485703 (or 2485690 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

Adding to 101415050400 its reverse (4050514101), we get a palindrome (105465564501).

The spelling of 101415050400 in words is "one hundred one billion, four hundred fifteen million, fifty thousand, four hundred".