2100220020 has 72 divisors (see below), whose sum is σ = 6590361960. Its totient is φ = 540744960.

The previous prime is 2100220007. The next prime is 2100220027. The reversal of 2100220020 is 200220012.

It can be written as a sum of positive squares in 4 ways, for example, as 42146064 + 2058073956 = 6492^2 + 45366^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2100219984 and 2100220011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100220027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195951 + ... + 206390.

It is an arithmetic number, because the mean of its divisors is an integer number (91532805).

Almost surely, 2^2100220020 is an apocalyptic number.

2100220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100220020 is an abundant number, since it is smaller than the sum of its proper divisors (4490141940).

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

2100220020 is a wasteful number, since it uses less digits than its factorization.

2100220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402385 (or 402380 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2100220020 is about 45828.1575016932. The cubic root of 2100220020 is about 1280.6238861285.

Adding to 2100220020 its reverse (200220012), we get a palindrome (2300440032).

The spelling of 2100220020 in words is "two billion, one hundred million, two hundred twenty thousand, twenty".