2112120102211 has 16 divisors (see below), whose sum is σ = 2438985203200. Its totient is φ = 1791621643968.

The previous prime is 2112120102203. The next prime is 2112120102223. The reversal of 2112120102211 is 1122010212112.

It is a cyclic number.

It is not a de Polignac number, because 2112120102211 - 2³ = 2112120102203 is a prime.

It is a super-2 number, since 2×2112120102211² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2112120102251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3163071 + ... + 3772168.

It is an arithmetic number, because the mean of its divisors is an integer number (152436575200).

Almost surely, 2^{2112120102211} is an apocalyptic number.

2112120102211 is a deficient number, since it is larger than the sum of its proper divisors (326865100989).

2112120102211 is a wasteful number, since it uses less digits than its factorization.

2112120102211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6935698.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2112120102211 its reverse (1122010212112), we get a palindrome (3234130314323).

The spelling of 2112120102211 in words is "two trillion, one hundred twelve billion, one hundred twenty million, one hundred two thousand, two hundred eleven".