2122100100020 has 72 divisors (see below), whose sum is σ = 4670576263080. Its totient is φ = 809845146880.

The previous prime is 2122100100019. The next prime is 2122100100023. The reversal of 2122100100020 is 200010012212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3526696996 + 2118573403024 = 59386^2 + 1455532^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2122100099974 and 2122100100010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122100100023) 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, 3857810 + ... + 4373430.

It is an arithmetic number, because the mean of its divisors is an integer number (64869114765).

Almost surely, 2^{2122100100020} is an apocalyptic number.

2122100100020 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 2122100100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335288131540).

2122100100020 is an abundant number, since it is smaller than the sum of its proper divisors (2548476163060).

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

2122100100020 is a wasteful number, since it uses less digits than its factorization.

2122100100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516065 (or 516040 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2122100100020 its reverse (200010012212), we get a palindrome (2322110112232).

The spelling of 2122100100020 in words is "two trillion, one hundred twenty-two billion, one hundred million, one hundred thousand, twenty".