10220222202137 has 2 divisors, whose sum is σ = 10220222202138. Its totient is φ = 10220222202136.

The previous prime is 10220222202121. The next prime is 10220222202247. The reversal of 10220222202137 is 73120222202201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5339145014281 + 4881077187856 = 2310659^2 + 2209316^2 .

It is an emirp because it is prime and its reverse (73120222202201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10220222202137 - 2⁴ = 10220222202121 is a prime.

It is a super-2 number, since 2×10220222202137² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10220222202037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110111101068 + 5110111101069.

It is an arithmetic number, because the mean of its divisors is an integer number (5110111101069).

Almost surely, 2^{10220222202137} is an apocalyptic number.

It is an amenable number.

10220222202137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10220222202137 is an equidigital number, since it uses as much as digits as its factorization.

10220222202137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2688, while the sum is 26.

Adding to 10220222202137 its reverse (73120222202201), we get a palindrome (83340444404338).

The spelling of 10220222202137 in words is "ten trillion, two hundred twenty billion, two hundred twenty-two million, two hundred two thousand, one hundred thirty-seven".