211122122101001 has 2 divisors, whose sum is σ = 211122122101002. Its totient is φ = 211122122101000.

The previous prime is 211122122100961. The next prime is 211122122101049. The reversal of 211122122101001 is 100101221221112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 210810043451401 + 312078649600 = 14519299^2 + 558640^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211122122101001 is a prime.

It is not a weakly prime, because it can be changed into another prime (211122122101901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105561061050500 + 105561061050501.

It is an arithmetic number, because the mean of its divisors is an integer number (105561061050501).

Almost surely, 2^{211122122101001} is an apocalyptic number.

It is an amenable number.

211122122101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

211122122101001 is an equidigital number, since it uses as much as digits as its factorization.

211122122101001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 211122122101001 its reverse (100101221221112), we get a palindrome (311223343322113).

The spelling of 211122122101001 in words is "two hundred eleven trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred one thousand, one".