101425414400 has 54 divisors (see below), whose sum is σ = 251043764202. Its totient is φ = 40570163200.

The previous prime is 101425414397. The next prime is 101425414423. The reversal of 101425414400 is 4414524101.

101425414400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1559302144 + 99866112256 = 39488^2 + 316016^2 .

It is a super-2 number, since 2×101425414400² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101425414400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7917461 + ... + 7930260.

Almost surely, 2^101425414400 is an apocalyptic number.

101425414400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101425414400 is an abundant number, since it is smaller than the sum of its proper divisors (149618349802).

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

101425414400 is an equidigital number, since it uses as much as digits as its factorization.

101425414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15847747 (or 15847728 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

Adding to 101425414400 its reverse (4414524101), we get a palindrome (105839938501).

The spelling of 101425414400 in words is "one hundred one billion, four hundred twenty-five million, four hundred fourteen thousand, four hundred".