212001122212001 has 2 divisors, whose sum is σ = 212001122212002. Its totient is φ = 212001122212000.

The previous prime is 212001122211941. The next prime is 212001122212007. The reversal of 212001122212001 is 100212221100212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 173519893563025 + 38481228648976 = 13172695^2 + 6203324^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212001122212001 is a prime.

It is not a weakly prime, because it can be changed into another prime (212001122212007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106000561106000 + 106000561106001.

It is an arithmetic number, because the mean of its divisors is an integer number (106000561106001).

Almost surely, 2^{212001122212001} is an apocalyptic number.

It is an amenable number.

212001122212001 is a deficient number, since it is larger than the sum of its proper divisors (1).

212001122212001 is an equidigital number, since it uses as much as digits as its factorization.

212001122212001 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 17.

Adding to 212001122212001 its reverse (100212221100212), we get a palindrome (312213343312213).

The spelling of 212001122212001 in words is "two hundred twelve trillion, one billion, one hundred twenty-two million, two hundred twelve thousand, one".