2122020100 has 36 divisors (see below), whose sum is σ = 4650397668. Its totient is φ = 840400000.

The previous prime is 2122020077. The next prime is 2122020101. The reversal of 2122020100 is 10202212.

2122020100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 11168964 + 2110851136 = 3342^2 + 45944^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2122020101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94951 + ... + 115150.

It is an arithmetic number, because the mean of its divisors is an integer number (129177713).

Almost surely, 2^2122020100 is an apocalyptic number.

2122020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122020100 is an abundant number, since it is smaller than the sum of its proper divisors (2528377568).

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

2122020100 is a wasteful number, since it uses less digits than its factorization.

2122020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210216 (or 210209 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2122020100 is about 46065.3893937737. The cubic root of 2122020100 is about 1285.0395603197.

Adding to 2122020100 its reverse (10202212), we get a palindrome (2132222312).

The spelling of 2122020100 in words is "two billion, one hundred twenty-two million, twenty thousand, one hundred".