211201101102137 has 2 divisors, whose sum is σ = 211201101102138. Its totient is φ = 211201101102136.

The previous prime is 211201101102067. The next prime is 211201101102139. The reversal of 211201101102137 is 731201101102112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 141255578239801 + 69945522862336 = 11885099^2 + 8363344^2 .

It is a cyclic number.

It is not a de Polignac number, because 211201101102137 - 2¹⁰ = 211201101101113 is a prime.

It is a super-2 number, since 2×211201101102137² (a number of 29 digits) contains 22 as substring.

Together with 211201101102139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (211201101102139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105600550551068 + 105600550551069.

It is an arithmetic number, because the mean of its divisors is an integer number (105600550551069).

Almost surely, 2^{211201101102137} is an apocalyptic number.

It is an amenable number.

211201101102137 is a deficient number, since it is larger than the sum of its proper divisors (1).

211201101102137 is an equidigital number, since it uses as much as digits as its factorization.

211201101102137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 23.

Adding to 211201101102137 its reverse (731201101102112), we get a palindrome (942402202204249).

The spelling of 211201101102137 in words is "two hundred eleven trillion, two hundred one billion, one hundred one million, one hundred two thousand, one hundred thirty-seven".