100100200122 has 192 divisors, whose sum is σ = 260742343680. Its totient is φ = 27439644672.

The previous prime is 100100200121. The next prime is 100100200129. The reversal of 100100200122 is 221002001001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100100200121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8869279 + ... + 8880557.

It is an arithmetic number, because the mean of its divisors is an integer number (1358033040).

Almost surely, 2^100100200122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100100200122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130371171840).

100100200122 is an abundant number, since it is smaller than the sum of its proper divisors (160642143558).

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

100100200122 is a wasteful number, since it uses less digits than its factorization.

100100200122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11437 (or 11434 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100100200122 its reverse (221002001001), we get a palindrome (321102201123).

The spelling of 100100200122 in words is "one hundred billion, one hundred million, two hundred thousand, one hundred twenty-two".