210022112201137 has 2 divisors, whose sum is σ = 210022112201138. Its totient is φ = 210022112201136.

The previous prime is 210022112201021. The next prime is 210022112201141. The reversal of 210022112201137 is 731102211220012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 209993602216336 + 28509984801 = 14491156^2 + 168849^2 .

It is a cyclic number.

It is not a de Polignac number, because 210022112201137 - 2¹¹ = 210022112199089 is a prime.

It is a super-2 number, since 2×210022112201137² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (210022112201147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105011056100568 + 105011056100569.

It is an arithmetic number, because the mean of its divisors is an integer number (105011056100569).

Almost surely, 2^{210022112201137} is an apocalyptic number.

It is an amenable number.

210022112201137 is a deficient number, since it is larger than the sum of its proper divisors (1).

210022112201137 is an equidigital number, since it uses as much as digits as its factorization.

210022112201137 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 210022112201137 its reverse (731102211220012), we get a palindrome (941124323421149).

The spelling of 210022112201137 in words is "two hundred ten trillion, twenty-two billion, one hundred twelve million, two hundred one thousand, one hundred thirty-seven".