101412014400 has 126 divisors (see below), whose sum is σ = 360442294862. Its totient is φ = 27043200000.

The previous prime is 101412014383. The next prime is 101412014441. The reversal of 101412014400 is 4410214101.

101412014400 is a `hidden beast` number, since 10 + 14 + 1 + 201 + 440 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 11080509696 + 90331504704 = 105264^2 + 300552^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3506851 + ... + 3535650.

Almost surely, 2^101412014400 is an apocalyptic number.

101412014400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101412014400 is an abundant number, since it is smaller than the sum of its proper divisors (259030280462).

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

101412014400 is a wasteful number, since it uses less digits than its factorization.

101412014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7042529 (or 7042511 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101412014400 its reverse (4410214101), we get a palindrome (105822228501).

The spelling of 101412014400 in words is "one hundred one billion, four hundred twelve million, fourteen thousand, four hundred".