211121222012101 has 2 divisors, whose sum is σ = 211121222012102. Its totient is φ = 211121222012100.

The previous prime is 211121222012083. The next prime is 211121222012147. The reversal of 211121222012101 is 101210222121112.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 211120609400100 + 612612001 = 14529990^2 + 24751^2 .

It is a cyclic number.

It is not a de Polignac number, because 211121222012101 - 2⁵ = 211121222012069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211121222012191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105560611006050 + 105560611006051.

It is an arithmetic number, because the mean of its divisors is an integer number (105560611006051).

Almost surely, 2^{211121222012101} is an apocalyptic number.

It is an amenable number.

211121222012101 is a deficient number, since it is larger than the sum of its proper divisors (1).

211121222012101 is an equidigital number, since it uses as much as digits as its factorization.

211121222012101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 211121222012101 its reverse (101210222121112), we get a palindrome (312331444133213).

The spelling of 211121222012101 in words is "two hundred eleven trillion, one hundred twenty-one billion, two hundred twenty-two million, twelve thousand, one hundred one".