101032200 has 216 divisors, whose sum is σ = 357223230. Its totient is φ = 25574400.

The previous prime is 101032171. The next prime is 101032271. The reversal of 101032200 is 2230101.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 17089956 + 83942244 = 4134^2 + 9162^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2464180 + ... + 2464220.

Almost surely, 2^101032200 is an apocalyptic number.

101032200 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 101032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178611615).

101032200 is an abundant number, since it is smaller than the sum of its proper divisors (256191030).

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

101032200 is a wasteful number, since it uses less digits than its factorization.

101032200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 101032200 is about 10051.4775033325. The cubic root of 101032200 is about 465.7504358540.

Adding to 101032200 its reverse (2230101), we get a palindrome (103262301).

The spelling of 101032200 in words is "one hundred one million, thirty-two thousand, two hundred".