2112202202120 has 64 divisors (see below), whose sum is σ = 5032237719600. Its totient is φ = 795146199040.

The previous prime is 2112202202113. The next prime is 2112202202153. The reversal of 2112202202120 is 212022022112.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1353550750084 + 758651452036 = 1163422^2 + 871006^2 .

It is a super-2 number, since 2×2112202202120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18772430 + ... + 18884610.

Almost surely, 2^{2112202202120} is an apocalyptic number.

2112202202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112202202120 is an abundant number, since it is smaller than the sum of its proper divisors (2920035517480).

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

2112202202120 is a wasteful number, since it uses less digits than its factorization.

2112202202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139898 (or 139894 counting only the distinct ones).

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

Adding to 2112202202120 its reverse (212022022112), we get a palindrome (2324224224232).

The spelling of 2112202202120 in words is "two trillion, one hundred twelve billion, two hundred two million, two hundred two thousand, one hundred twenty".