101311200 has 108 divisors (see below), whose sum is σ = 357274008. Its totient is φ = 27014400.

The previous prime is 101311163. The next prime is 101311207. The reversal of 101311200 is 2113101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101311207) 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 17 ways as a sum of consecutive naturals, for example, 165 + ... + 14235.

Almost surely, 2^101311200 is an apocalyptic number.

101311200 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 101311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178637004).

101311200 is an abundant number, since it is smaller than the sum of its proper divisors (255962808).

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

101311200 is a wasteful number, since it uses less digits than its factorization.

101311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14097 (or 14081 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 101311200 is about 10065.3464918005. The cubic root of 101311200 is about 466.1787644501.

Adding to 101311200 its reverse (2113101), we get a palindrome (103424301).

The spelling of 101311200 in words is "one hundred one million, three hundred eleven thousand, two hundred".