101031112200 has 384 divisors, whose sum is σ = 347077249920. Its totient is φ = 24201216000.

The previous prime is 101031112199. The next prime is 101031112213. The reversal of 101031112200 is 2211130101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19999675 + ... + 20004725.

It is an arithmetic number, because the mean of its divisors is an integer number (903847005).

Almost surely, 2^101031112200 is an apocalyptic number.

101031112200 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 101031112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173538624960).

101031112200 is an abundant number, since it is smaller than the sum of its proper divisors (246046137720).

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

101031112200 is a wasteful number, since it uses less digits than its factorization.

101031112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5177 (or 5168 counting only the distinct ones).

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

Adding to 101031112200 its reverse (2211130101), we get a palindrome (103242242301).

The spelling of 101031112200 in words is "one hundred one billion, thirty-one million, one hundred twelve thousand, two hundred".