2112212112097 has 2 divisors, whose sum is σ = 2112212112098. Its totient is φ = 2112212112096.

The previous prime is 2112212112061. The next prime is 2112212112137. The reversal of 2112212112097 is 7902112122112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1744219434721 + 367992677376 = 1320689^2 + 606624^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2112212112097 is a prime.

It is a super-2 number, since 2×2112212112097² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2112212112007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056106056048 + 1056106056049.

It is an arithmetic number, because the mean of its divisors is an integer number (1056106056049).

Almost surely, 2^{2112212112097} is an apocalyptic number.

It is an amenable number.

2112212112097 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112212112097 is an equidigital number, since it uses as much as digits as its factorization.

2112212112097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2016, while the sum is 31.

The spelling of 2112212112097 in words is "two trillion, one hundred twelve billion, two hundred twelve million, one hundred twelve thousand, ninety-seven".