211122100121117 has 2 divisors, whose sum is σ = 211122100121118. Its totient is φ = 211122100121116.

The previous prime is 211122100121087. The next prime is 211122100121129. The reversal of 211122100121117 is 711121001221112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 139382911050916 + 71739189070201 = 11806054^2 + 8469899^2 .

It is a cyclic number.

It is not a de Polignac number, because 211122100121117 - 2²² = 211122095926813 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211122100121092 and 211122100121101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211122100121147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105561050060558 + 105561050060559.

It is an arithmetic number, because the mean of its divisors is an integer number (105561050060559).

Almost surely, 2^{211122100121117} is an apocalyptic number.

It is an amenable number.

211122100121117 is a deficient number, since it is larger than the sum of its proper divisors (1).

211122100121117 is an equidigital number, since it uses as much as digits as its factorization.

211122100121117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 23.

Adding to 211122100121117 its reverse (711121001221112), we get a palindrome (922243101342229).

The spelling of 211122100121117 in words is "two hundred eleven trillion, one hundred twenty-two billion, one hundred million, one hundred twenty-one thousand, one hundred seventeen".