101202212102137 has 2 divisors, whose sum is σ = 101202212102138. Its totient is φ = 101202212102136.

The previous prime is 101202212102111. The next prime is 101202212102149. The reversal of 101202212102137 is 731201212202101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95180238433296 + 6021973668841 = 9756036^2 + 2453971^2 .

It is a cyclic number.

It is not a de Polignac number, because 101202212102137 - 2¹¹ = 101202212100089 is a prime.

It is not a weakly prime, because it can be changed into another prime (101202212103137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50601106051068 + 50601106051069.

It is an arithmetic number, because the mean of its divisors is an integer number (50601106051069).

Almost surely, 2^{101202212102137} is an apocalyptic number.

It is an amenable number.

101202212102137 is a deficient number, since it is larger than the sum of its proper divisors (1).

101202212102137 is an equidigital number, since it uses as much as digits as its factorization.

101202212102137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 25.

Adding to 101202212102137 its reverse (731201212202101), we get a palindrome (832403424304238).

The spelling of 101202212102137 in words is "one hundred one trillion, two hundred two billion, two hundred twelve million, one hundred two thousand, one hundred thirty-seven".