101032200200 has 96 divisors (see below), whose sum is σ = 248860087560. Its totient is φ = 38013849600.

The previous prime is 101032200077. The next prime is 101032200221. The reversal of 101032200200 is 2002230101.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 14794829956 + 86237370244 = 121634^2 + 293662^2 .

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, 6700670 + ... + 6715730.

Almost surely, 2^101032200200 is an apocalyptic number.

101032200200 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 101032200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124430043780).

101032200200 is an abundant number, since it is smaller than the sum of its proper divisors (147827887360).

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

101032200200 is a wasteful number, since it uses less digits than its factorization.

101032200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17067 (or 17058 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 101032200200 its reverse (2002230101), we get a palindrome (103034430301).

The spelling of 101032200200 in words is "one hundred one billion, thirty-two million, two hundred thousand, two hundred".