2221112112137 has 2 divisors, whose sum is σ = 2221112112138. Its totient is φ = 2221112112136.

The previous prime is 2221112112091. The next prime is 2221112112143. The reversal of 2221112112137 is 7312112111222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1612643470201 + 608468641936 = 1269899^2 + 780044^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221112112137 - 2¹⁴ = 2221112095753 is a prime.

It is not a weakly prime, because it can be changed into another prime (2221112112187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110556056068 + 1110556056069.

It is an arithmetic number, because the mean of its divisors is an integer number (1110556056069).

Almost surely, 2^{2221112112137} is an apocalyptic number.

It is an amenable number.

2221112112137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221112112137 is an equidigital number, since it uses as much as digits as its factorization.

2221112112137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 672, while the sum is 26.

Adding to 2221112112137 its reverse (7312112111222), we get a palindrome (9533224223359).

The spelling of 2221112112137 in words is "two trillion, two hundred twenty-one billion, one hundred twelve million, one hundred twelve thousand, one hundred thirty-seven".