101132200 has 96 divisors (see below), whose sum is σ = 256467960. Its totient is φ = 36864000.

The previous prime is 101132191. The next prime is 101132233. The reversal of 101132200 is 2231101.

It can be written as a sum of positive squares in 12 ways, for example, as 13410244 + 87721956 = 3662^2 + 9366^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 252000 + ... + 252400.

Almost surely, 2^101132200 is an apocalyptic number.

101132200 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 101132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128233980).

101132200 is an abundant number, since it is smaller than the sum of its proper divisors (155335760).

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

101132200 is a wasteful number, since it uses less digits than its factorization.

101132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 101132200 is about 10056.4506661148. The cubic root of 101132200 is about 465.9040492090.

Adding to 101132200 its reverse (2231101), we get a palindrome (103363301).

The spelling of 101132200 in words is "one hundred one million, one hundred thirty-two thousand, two hundred".