210220953012137 has 2 divisors, whose sum is σ = 210220953012138. Its totient is φ = 210220953012136.

The previous prime is 210220953012071. The next prime is 210220953012139. The reversal of 210220953012137 is 731210359022012.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 197722154399641 + 12498798612496 = 14061371^2 + 3535364^2 .

It is a cyclic number.

It is not a de Polignac number, because 210220953012137 - 2¹⁸ = 210220952749993 is a prime.

It is a super-2 number, since 2×210220953012137² (a number of 29 digits) contains 22 as substring.

Together with 210220953012139, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 210220953012137.

It is not a weakly prime, because it can be changed into another prime (210220953012139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105110476506068 + 105110476506069.

It is an arithmetic number, because the mean of its divisors is an integer number (105110476506069).

Almost surely, 2^{210220953012137} is an apocalyptic number.

It is an amenable number.

210220953012137 is a deficient number, since it is larger than the sum of its proper divisors (1).

210220953012137 is an equidigital number, since it uses as much as digits as its factorization.

210220953012137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45360, while the sum is 38.

The spelling of 210220953012137 in words is "two hundred ten trillion, two hundred twenty billion, nine hundred fifty-three million, twelve thousand, one hundred thirty-seven".