101372200 has 24 divisors (see below), whose sum is σ = 235690830. Its totient is φ = 40548800.

The previous prime is 101372177. The next prime is 101372203. The reversal of 101372200 is 2273101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 84676804 + 16695396 = 9202^2 + 4086^2 .

It is not an unprimeable number, because it can be changed into a prime (101372203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 253231 + ... + 253630.

Almost surely, 2^101372200 is an apocalyptic number.

101372200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101372200 is an abundant number, since it is smaller than the sum of its proper divisors (134318630).

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

101372200 is a wasteful number, since it uses less digits than its factorization.

101372200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506877 (or 506868 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 101372200 is about 10068.3762345276. The cubic root of 101372200 is about 466.2723085637.

Subtracting from 101372200 its reverse (2273101), we obtain a palindrome (99099099).

The spelling of 101372200 in words is "one hundred one million, three hundred seventy-two thousand, two hundred".