211222101020101 has 2 divisors, whose sum is σ = 211222101020102. Its totient is φ = 211222101020100.

The previous prime is 211222101020023. The next prime is 211222101020123. The reversal of 211222101020101 is 101020101222112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210875414402500 + 346686617601 = 14521550^2 + 588801^2 .

It is a cyclic number.

It is not a de Polignac number, because 211222101020101 - 2⁴³ = 202426007997893 is a prime.

It is a super-2 number, since 2×211222101020101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211223101020101) 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, 105611050510050 + 105611050510051.

It is an arithmetic number, because the mean of its divisors is an integer number (105611050510051).

Almost surely, 2^{211222101020101} is an apocalyptic number.

It is an amenable number.

211222101020101 is a deficient number, since it is larger than the sum of its proper divisors (1).

211222101020101 is an equidigital number, since it uses as much as digits as its factorization.

211222101020101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211222101020101 its reverse (101020101222112), we get a palindrome (312242202242213).

The spelling of 211222101020101 in words is "two hundred eleven trillion, two hundred twenty-two billion, one hundred one million, twenty thousand, one hundred one".