211011011022101 has 2 divisors, whose sum is σ = 211011011022102. Its totient is φ = 211011011022100.

The previous prime is 211011011022073. The next prime is 211011011022103. The reversal of 211011011022101 is 101220110110112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 198657016241476 + 12353994780625 = 14094574^2 + 3514825^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211011011022101 is a prime.

Together with 211011011022103, 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 (211011011022103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105505505511050 + 105505505511051.

It is an arithmetic number, because the mean of its divisors is an integer number (105505505511051).

Almost surely, 2^{211011011022101} is an apocalyptic number.

It is an amenable number.

211011011022101 is a deficient number, since it is larger than the sum of its proper divisors (1).

211011011022101 is an equidigital number, since it uses as much as digits as its factorization.

211011011022101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 211011011022101 its reverse (101220110110112), we get a palindrome (312231121132213).

The spelling of 211011011022101 in words is "two hundred eleven trillion, eleven billion, eleven million, twenty-two thousand, one hundred one".