211031103101261 has 2 divisors, whose sum is σ = 211031103101262. Its totient is φ = 211031103101260.

The previous prime is 211031103101209. The next prime is 211031103101263. The reversal of 211031103101261 is 162101301130112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 146848493027236 + 64182610074025 = 12118106^2 + 8011405^2 .

It is a cyclic number.

It is not a de Polignac number, because 211031103101261 - 2⁶ = 211031103101197 is a prime.

It is a super-2 number, since 2×211031103101261² (a number of 29 digits) contains 22 as substring.

Together with 211031103101263, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211031103101263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105515551550630 + 105515551550631.

It is an arithmetic number, because the mean of its divisors is an integer number (105515551550631).

Almost surely, 2^{211031103101261} is an apocalyptic number.

It is an amenable number.

211031103101261 is a deficient number, since it is larger than the sum of its proper divisors (1).

211031103101261 is an equidigital number, since it uses as much as digits as its factorization.

211031103101261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 23.

Adding to 211031103101261 its reverse (162101301130112), we get a palindrome (373132404231373).

The spelling of 211031103101261 in words is "two hundred eleven trillion, thirty-one billion, one hundred three million, one hundred one thousand, two hundred sixty-one".