101133200 has 120 divisors (see below), whose sum is σ = 292451520. Its totient is φ = 32832000.

The previous prime is 101133199. The next prime is 101133211. The reversal of 101133200 is 2331101.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 52250 + ... + 54150.

It is an arithmetic number, because the mean of its divisors is an integer number (2437096).

Almost surely, 2^101133200 is an apocalyptic number.

101133200 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 101133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146225760).

101133200 is an abundant number, since it is smaller than the sum of its proper divisors (191318320).

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

101133200 is a wasteful number, since it uses less digits than its factorization.

101133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 101133200 is about 10056.5003853229. The cubic root of 101133200 is about 465.9055848311.

Adding to 101133200 its reverse (2331101), we get a palindrome (103464301).

The spelling of 101133200 in words is "one hundred one million, one hundred thirty-three thousand, two hundred".