2112112201 has 2 divisors, whose sum is σ = 2112112202. Its totient is φ = 2112112200.

The previous prime is 2112112199. The next prime is 2112112213. The reversal of 2112112201 is 1022112112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1468728976 + 643383225 = 38324^2 + 25365^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112112201 - 2¹ = 2112112199 is a prime.

It is a super-2 number, since 2×2112112201² = 8922035899226128802, which contains 22 as substring.

Together with 2112112199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2112112231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056056100 + 1056056101.

It is an arithmetic number, because the mean of its divisors is an integer number (1056056101).

Almost surely, 2^2112112201 is an apocalyptic number.

It is an amenable number.

2112112201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112112201 is an equidigital number, since it uses as much as digits as its factorization.

2112112201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 2112112201 is about 45957.7218865339. The cubic root of 2112112201 is about 1283.0364518333.

Adding to 2112112201 its reverse (1022112112), we get a palindrome (3134224313).

The spelling of 2112112201 in words is "two billion, one hundred twelve million, one hundred twelve thousand, two hundred one".