212122101001 has 2 divisors, whose sum is σ = 212122101002. Its totient is φ = 212122101000.

The previous prime is 212122100987. The next prime is 212122101007. The reversal of 212122101001 is 100101221212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 125971045776 + 86151055225 = 354924^2 + 293515^2 .

It is a cyclic number.

It is not a de Polignac number, because 212122101001 - 2⁷ = 212122100873 is a prime.

It is not a weakly prime, because it can be changed into another prime (212122101007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106061050500 + 106061050501.

It is an arithmetic number, because the mean of its divisors is an integer number (106061050501).

Almost surely, 2^212122101001 is an apocalyptic number.

It is an amenable number.

212122101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

212122101001 is an equidigital number, since it uses as much as digits as its factorization.

212122101001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212122101001 its reverse (100101221212), we get a palindrome (312223322213).

The spelling of 212122101001 in words is "two hundred twelve billion, one hundred twenty-two million, one hundred one thousand, one".