211122020102101 has 2 divisors, whose sum is σ = 211122020102102. Its totient is φ = 211122020102100.

The previous prime is 211122020102087. The next prime is 211122020102129. The reversal of 211122020102101 is 101201020221112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 208241783442225 + 2880236659876 = 14430585^2 + 1697126^2 .

It is a cyclic number.

It is not a de Polignac number, because 211122020102101 - 2⁵ = 211122020102069 is a prime.

It is a super-2 number, since 2×211122020102101² (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 (211122020102141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105561010051050 + 105561010051051.

It is an arithmetic number, because the mean of its divisors is an integer number (105561010051051).

Almost surely, 2^{211122020102101} is an apocalyptic number.

It is an amenable number.

211122020102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

211122020102101 is an equidigital number, since it uses as much as digits as its factorization.

211122020102101 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 211122020102101 its reverse (101201020221112), we get a palindrome (312323040323213).

The spelling of 211122020102101 in words is "two hundred eleven trillion, one hundred twenty-two billion, twenty million, one hundred two thousand, one hundred one".