20022122100100 has 72 divisors (see below), whose sum is σ = 43848184161600. Its totient is φ = 7935355824000.

The previous prime is 20022122100017. The next prime is 20022122100109. The reversal of 20022122100100 is 100122122002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20022122100109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4169571 + ... + 7578229.

It is an arithmetic number, because the mean of its divisors is an integer number (609002557800).

Almost surely, 2^{20022122100100} is an apocalyptic number.

20022122100100 is a gapful number since it is divisible by the number (20) 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 20022122100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21924092080800).

20022122100100 is an abundant number, since it is smaller than the sum of its proper divisors (23826062061500).

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

20022122100100 is a wasteful number, since it uses less digits than its factorization.

20022122100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3409213 (or 3409206 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20022122100100 its reverse (100122122002), we get a palindrome (20122244222102).

The spelling of 20022122100100 in words is "twenty trillion, twenty-two billion, one hundred twenty-two million, one hundred thousand, one hundred".