100122220122200 has 192 divisors, whose sum is σ = 245568174059520. Its totient is φ = 37907297280000.

The previous prime is 100122220122179. The next prime is 100122220122203. The reversal of 100122220122200 is 2221022221001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122220122203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 443689400 + ... + 443915000.

It is an arithmetic number, because the mean of its divisors is an integer number (1279000906560).

Almost surely, 2^{100122220122200} is an apocalyptic number.

100122220122200 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 100122220122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122784087029760).

100122220122200 is an abundant number, since it is smaller than the sum of its proper divisors (145445953937320).

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

100122220122200 is a wasteful number, since it uses less digits than its factorization.

100122220122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227218 (or 227209 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 100122220122200 its reverse (2221022221001), we get a palindrome (102343242343201).

The spelling of 100122220122200 in words is "one hundred trillion, one hundred twenty-two billion, two hundred twenty million, one hundred twenty-two thousand, two hundred".