2202002103137 has 2 divisors, whose sum is σ = 2202002103138. Its totient is φ = 2202002103136.

The previous prime is 2202002103101. The next prime is 2202002103149. The reversal of 2202002103137 is 7313012002022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1871749598161 + 330252504976 = 1368119^2 + 574676^2 .

It is a cyclic number.

It is not a de Polignac number, because 2202002103137 - 2²⁴ = 2201985325921 is a prime.

It is not a weakly prime, because it can be changed into another prime (2202002103937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1101001051568 + 1101001051569.

It is an arithmetic number, because the mean of its divisors is an integer number (1101001051569).

Almost surely, 2^{2202002103137} is an apocalyptic number.

It is an amenable number.

2202002103137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2202002103137 is an equidigital number, since it uses as much as digits as its factorization.

2202002103137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 23.

Adding to 2202002103137 its reverse (7313012002022), we get a palindrome (9515014105159).

The spelling of 2202002103137 in words is "two trillion, two hundred two billion, two million, one hundred three thousand, one hundred thirty-seven".