221121020121137 has 2 divisors, whose sum is σ = 221121020121138. Its totient is φ = 221121020121136.

The previous prime is 221121020121121. The next prime is 221121020121161. The reversal of 221121020121137 is 731121020121122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 211721590030336 + 9399430090801 = 14550656^2 + 3065849^2 .

It is a cyclic number.

It is not a de Polignac number, because 221121020121137 - 2⁴ = 221121020121121 is a prime.

It is not a weakly prime, because it can be changed into another prime (221121020121107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110560510060568 + 110560510060569.

It is an arithmetic number, because the mean of its divisors is an integer number (110560510060569).

Almost surely, 2^{221121020121137} is an apocalyptic number.

It is an amenable number.

221121020121137 is a deficient number, since it is larger than the sum of its proper divisors (1).

221121020121137 is an equidigital number, since it uses as much as digits as its factorization.

221121020121137 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 26.

Adding to 221121020121137 its reverse (731121020121122), we get a palindrome (952242040242259).

The spelling of 221121020121137 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, twenty million, one hundred twenty-one thousand, one hundred thirty-seven".