101312400 has 180 divisors, whose sum is σ = 377742192. Its totient is φ = 23143680.

The previous prime is 101312383. The next prime is 101312411. The reversal of 101312400 is 4213101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57939 + ... + 59661.

Almost surely, 2^101312400 is an apocalyptic number.

101312400 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 101312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188871096).

101312400 is an abundant number, since it is smaller than the sum of its proper divisors (276429792).

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

101312400 is a wasteful number, since it uses less digits than its factorization.

101312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 101312400 is about 10065.4061020905. The cubic root of 101312400 is about 466.1806050242.

Adding to 101312400 its reverse (4213101), we get a palindrome (105525501).

The spelling of 101312400 in words is "one hundred one million, three hundred twelve thousand, four hundred".