212122122001 has 2 divisors, whose sum is σ = 212122122002. Its totient is φ = 212122122000.

The previous prime is 212122121963. The next prime is 212122122029. The reversal of 212122122001 is 100221221212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 136290180625 + 75831941376 = 369175^2 + 275376^2 .

It is a cyclic number.

It is not a de Polignac number, because 212122122001 - 2¹³ = 212122113809 is a prime.

It is not a weakly prime, because it can be changed into another prime (212122122061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106061061000 + 106061061001.

It is an arithmetic number, because the mean of its divisors is an integer number (106061061001).

Almost surely, 2^212122122001 is an apocalyptic number.

It is an amenable number.

212122122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

212122122001 is an equidigital number, since it uses as much as digits as its factorization.

212122122001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212122122001 its reverse (100221221212), we get a palindrome (312343343213).

The spelling of 212122122001 in words is "two hundred twelve billion, one hundred twenty-two million, one hundred twenty-two thousand, one".