211012101210137 has 2 divisors, whose sum is σ = 211012101210138. Its totient is φ = 211012101210136.

The previous prime is 211012101210109. The next prime is 211012101210139. The reversal of 211012101210137 is 731012101210112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 195551249153296 + 15460852056841 = 13983964^2 + 3932029^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211012101210137 is a prime.

It is a super-2 number, since 2×211012101210137² (a number of 29 digits) contains 22 as substring.

Together with 211012101210139, 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 (211012101210139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105506050605068 + 105506050605069.

It is an arithmetic number, because the mean of its divisors is an integer number (105506050605069).

Almost surely, 2^{211012101210137} is an apocalyptic number.

It is an amenable number.

211012101210137 is a deficient number, since it is larger than the sum of its proper divisors (1).

211012101210137 is an equidigital number, since it uses as much as digits as its factorization.

211012101210137 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 211012101210137 its reverse (731012101210112), we get a palindrome (942024202420249).

The spelling of 211012101210137 in words is "two hundred eleven trillion, twelve billion, one hundred one million, two hundred ten thousand, one hundred thirty-seven".