101031202200 has 192 divisors, whose sum is σ = 317420933760. Its totient is φ = 26579230720.

The previous prime is 101031202193. The next prime is 101031202213. The reversal of 101031202200 is 2202130101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60605767 + ... + 60607433.

It is an arithmetic number, because the mean of its divisors is an integer number (1653234030).

Almost surely, 2^101031202200 is an apocalyptic number.

101031202200 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 101031202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158710466880).

101031202200 is an abundant number, since it is smaller than the sum of its proper divisors (216389731560).

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

101031202200 is a wasteful number, since it uses less digits than its factorization.

101031202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 101031202200 its reverse (2202130101), we get a palindrome (103233332301).

The spelling of 101031202200 in words is "one hundred one billion, thirty-one million, two hundred two thousand, two hundred".