2212100020 has 48 divisors (see below), whose sum is σ = 5071323600. Its totient is φ = 805579776.

The previous prime is 2212099991. The next prime is 2212100021. The reversal of 2212100020 is 200012122.

It can be written as a sum of positive squares in 8 ways, for example, as 159466384 + 2052633636 = 12628^2 + 45306^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212100021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39295 + ... + 77254.

It is an arithmetic number, because the mean of its divisors is an integer number (105652575).

Almost surely, 2^2212100020 is an apocalyptic number.

2212100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212100020 is an abundant number, since it is smaller than the sum of its proper divisors (2859223580).

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

2212100020 is a wasteful number, since it uses less digits than its factorization.

2212100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116644 (or 116642 counting only the distinct ones).

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

The square root of 2212100020 is about 47032.9673739602. The cubic root of 2212100020 is about 1302.9715103068.

Adding to 2212100020 its reverse (200012122), we get a palindrome (2412112142).

The spelling of 2212100020 in words is "two billion, two hundred twelve million, one hundred thousand, twenty".