101111313200 has 60 divisors (see below), whose sum is σ = 243121360368. Its totient is φ = 40410988800.

The previous prime is 101111313187. The next prime is 101111313221. The reversal of 101111313200 is 2313111101.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 381005 + ... + 589395.

Almost surely, 2^101111313200 is an apocalyptic number.

101111313200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111313200 is an abundant number, since it is smaller than the sum of its proper divisors (142010047168).

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

101111313200 is a wasteful number, since it uses less digits than its factorization.

101111313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209622 (or 209611 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 101111313200 its reverse (2313111101), we get a palindrome (103424424301).

The spelling of 101111313200 in words is "one hundred one billion, one hundred eleven million, three hundred thirteen thousand, two hundred".