101031200 has 72 divisors (see below), whose sum is σ = 251983872. Its totient is φ = 39537920.

The previous prime is 101031199. The next prime is 101031211. The reversal of 101031200 is 2130101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36257 + ... + 38943.

It is an arithmetic number, because the mean of its divisors is an integer number (3499776).

Almost surely, 2^101031200 is an apocalyptic number.

101031200 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 101031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125991936).

101031200 is an abundant number, since it is smaller than the sum of its proper divisors (150952672).

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

101031200 is a wasteful number, since it uses less digits than its factorization.

101031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 101031200 is about 10051.4277592788. The cubic root of 101031200 is about 465.7488992087.

Adding to 101031200 its reverse (2130101), we get a palindrome (103161301).

The spelling of 101031200 in words is "one hundred one million, thirty-one thousand, two hundred".