2212220212100 has 36 divisors (see below), whose sum is σ = 4801120185204. Its totient is φ = 884777057280.

The previous prime is 2212220212073. The next prime is 2212220212127. The reversal of 2212220212100 is 12120222122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2212220212073) and next prime (2212220212127).

It can be written as a sum of positive squares in 6 ways, for example, as 95940106564 + 2116280105536 = 309742^2 + 1454744^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 584549 + ... + 2183148.

It is an arithmetic number, because the mean of its divisors is an integer number (133364449589).

Almost surely, 2^{2212220212100} is an apocalyptic number.

2212220212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212220212100 is an abundant number, since it is smaller than the sum of its proper divisors (2588899973104).

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

2212220212100 is a wasteful number, since it uses less digits than its factorization.

2212220212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2775704 (or 2775697 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2212220212100 its reverse (12120222122), we get a palindrome (2224340434222).

The spelling of 2212220212100 in words is "two trillion, two hundred twelve billion, two hundred twenty million, two hundred twelve thousand, one hundred".