10100122122200 has 192 divisors, whose sum is σ = 25788791733120. Its totient is φ = 3648250368000.

The previous prime is 10100122122193. The next prime is 10100122122247. The reversal of 10100122122200 is 222122100101.

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, 764169992 + ... + 764183208.

It is an arithmetic number, because the mean of its divisors is an integer number (134316623610).

Almost surely, 2^{10100122122200} is an apocalyptic number.

10100122122200 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 10100122122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12894395866560).

10100122122200 is an abundant number, since it is smaller than the sum of its proper divisors (15688669610920).

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

10100122122200 is a wasteful number, since it uses less digits than its factorization.

10100122122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15538 (or 15529 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10100122122200 its reverse (222122100101), we get a palindrome (10322244222301).

The spelling of 10100122122200 in words is "ten trillion, one hundred billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred".