2212000100137 has 2 divisors, whose sum is σ = 2212000100138. Its totient is φ = 2212000100136.

The previous prime is 2212000100083. The next prime is 2212000100147. The reversal of 2212000100137 is 7310010002122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1376858172816 + 835141927321 = 1173396^2 + 913861^2 .

It is a cyclic number.

It is not a de Polignac number, because 2212000100137 - 2²³ = 2211991711529 is a prime.

It is not a weakly prime, because it can be changed into another prime (2212000100147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106000050068 + 1106000050069.

It is an arithmetic number, because the mean of its divisors is an integer number (1106000050069).

Almost surely, 2^{2212000100137} is an apocalyptic number.

It is an amenable number.

2212000100137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212000100137 is an equidigital number, since it uses as much as digits as its factorization.

2212000100137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 19.

Adding to 2212000100137 its reverse (7310010002122), we get a palindrome (9522010102259).

The spelling of 2212000100137 in words is "two trillion, two hundred twelve billion, one hundred thousand, one hundred thirty-seven".