210102220100137 has 2 divisors, whose sum is σ = 210102220100138. Its totient is φ = 210102220100136.

The previous prime is 210102220100093. The next prime is 210102220100141. The reversal of 210102220100137 is 731001022201012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121284054513216 + 88818165586921 = 11012904^2 + 9424339^2 .

It is a cyclic number.

It is not a de Polignac number, because 210102220100137 - 2²³ = 210102211711529 is a prime.

It is a super-3 number, since 3×210102220100137³ (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (210102220106137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105051110050068 + 105051110050069.

It is an arithmetic number, because the mean of its divisors is an integer number (105051110050069).

Almost surely, 2^{210102220100137} is an apocalyptic number.

It is an amenable number.

210102220100137 is a deficient number, since it is larger than the sum of its proper divisors (1).

210102220100137 is an equidigital number, since it uses as much as digits as its factorization.

210102220100137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 22.

Adding to 210102220100137 its reverse (731001022201012), we get a palindrome (941103242301149).

The spelling of 210102220100137 in words is "two hundred ten trillion, one hundred two billion, two hundred twenty million, one hundred thousand, one hundred thirty-seven".