101112400 has 60 divisors (see below), whose sum is σ = 245181852. Its totient is φ = 40069120.

The previous prime is 101112397. The next prime is 101112409. The reversal of 101112400 is 4211101.

It can be written as a sum of positive squares in 6 ways, for example, as 9412624 + 91699776 = 3068^2 + 9576^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44082 + ... + 46318.

Almost surely, 2^101112400 is an apocalyptic number.

101112400 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 101112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122590926).

101112400 is an abundant number, since it is smaller than the sum of its proper divisors (144069452).

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

101112400 is a wasteful number, since it uses less digits than its factorization.

101112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 101112400 is about 10055.4661751706. The cubic root of 101112400 is about 465.8736418074.

Adding to 101112400 its reverse (4211101), we get a palindrome (105323501).

The spelling of 101112400 in words is "one hundred one million, one hundred twelve thousand, four hundred".