100122200122220 has 96 divisors (see below), whose sum is σ = 223789988419200. Its totient is φ = 37495837716480.

The previous prime is 100122200122177. The next prime is 100122200122283. The reversal of 100122200122220 is 22221002221001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329826110 + ... + 330129530.

It is an arithmetic number, because the mean of its divisors is an integer number (2331145712700).

Almost surely, 2^{100122200122220} is an apocalyptic number.

100122200122220 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 100122200122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111894994209600).

100122200122220 is an abundant number, since it is smaller than the sum of its proper divisors (123667788296980).

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

100122200122220 is a wasteful number, since it uses less digits than its factorization.

100122200122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308523 (or 308521 counting only the distinct ones).

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

Adding to 100122200122220 its reverse (22221002221001), we get a palindrome (122343202343221).

The spelling of 100122200122220 in words is "one hundred trillion, one hundred twenty-two billion, two hundred million, one hundred twenty-two thousand, two hundred twenty".