1102212212137 has 2 divisors, whose sum is σ = 1102212212138. Its totient is φ = 1102212212136.

The previous prime is 1102212211927. The next prime is 1102212212141. The reversal of 1102212212137 is 7312122122011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1082382221376 + 19829990761 = 1040376^2 + 140819^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1102212212137 is a prime.

It is not a weakly prime, because it can be changed into another prime (1102212212147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 551106106068 + 551106106069.

It is an arithmetic number, because the mean of its divisors is an integer number (551106106069).

Almost surely, 2^{1102212212137} is an apocalyptic number.

It is an amenable number.

1102212212137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1102212212137 is an equidigital number, since it uses as much as digits as its factorization.

1102212212137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 672, while the sum is 25.

Adding to 1102212212137 its reverse (7312122122011), we get a palindrome (8414334334148).

The spelling of 1102212212137 in words is "one trillion, one hundred two billion, two hundred twelve million, two hundred twelve thousand, one hundred thirty-seven".