101111200 has 72 divisors (see below), whose sum is σ = 248421600. Its totient is φ = 40185600.

The previous prime is 101111123. The next prime is 101111203. The reversal of 101111200 is 2111101.

It is not an unprimeable number, because it can be changed into a prime (101111203) 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, 168501 + ... + 169099.

It is an arithmetic number, because the mean of its divisors is an integer number (3450300).

Almost surely, 2^101111200 is an apocalyptic number.

101111200 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 101111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124210800).

101111200 is an abundant number, since it is smaller than the sum of its proper divisors (147310400).

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

101111200 is a wasteful number, since it uses less digits than its factorization.

101111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

The square root of 101111200 is about 10055.4065059549. The cubic root of 101111200 is about 465.8717988070.

Adding to 101111200 its reverse (2111101), we get a palindrome (103222301).

Subtracting from 101111200 its reverse (2111101), we obtain a palindrome (99000099).

It can be divided in two parts, 10111 and 1200, that added together give a palindrome (11311).

The spelling of 101111200 in words is "one hundred one million, one hundred eleven thousand, two hundred".