101133111200 has 144 divisors (see below), whose sum is σ = 269496751104. Its totient is φ = 36753715200.

The previous prime is 101133111187. The next prime is 101133111221. The reversal of 101133111200 is 2111331101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25491617 + ... + 25495583.

It is an arithmetic number, because the mean of its divisors is an integer number (1871505216).

Almost surely, 2^101133111200 is an apocalyptic number.

101133111200 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 101133111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134748375552).

101133111200 is an abundant number, since it is smaller than the sum of its proper divisors (168363639904).

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

101133111200 is a wasteful number, since it uses less digits than its factorization.

101133111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6895 (or 6882 counting only the distinct ones).

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

Adding to 101133111200 its reverse (2111331101), we get a palindrome (103244442301).

The spelling of 101133111200 in words is "one hundred one billion, one hundred thirty-three million, one hundred eleven thousand, two hundred".