221002202112137 has 2 divisors, whose sum is σ = 221002202112138. Its totient is φ = 221002202112136.

The previous prime is 221002202112127. The next prime is 221002202112217. The reversal of 221002202112137 is 731211202200122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 185394475649296 + 35607726462841 = 13615964^2 + 5967221^2 .

It is a cyclic number.

It is not a de Polignac number, because 221002202112137 - 2⁴ = 221002202112121 is a prime.

It is not a weakly prime, because it can be changed into another prime (221002202112127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110501101056068 + 110501101056069.

It is an arithmetic number, because the mean of its divisors is an integer number (110501101056069).

Almost surely, 2^{221002202112137} is an apocalyptic number.

It is an amenable number.

221002202112137 is a deficient number, since it is larger than the sum of its proper divisors (1).

221002202112137 is an equidigital number, since it uses as much as digits as its factorization.

221002202112137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1344, while the sum is 26.

Adding to 221002202112137 its reverse (731211202200122), we get a palindrome (952213404312259).

The spelling of 221002202112137 in words is "two hundred twenty-one trillion, two billion, two hundred two million, one hundred twelve thousand, one hundred thirty-seven".