212012121012001 has 2 divisors, whose sum is σ = 212012121012002. Its totient is φ = 212012121012000.

The previous prime is 212012121011963. The next prime is 212012121012031. The reversal of 212012121012001 is 100210121210212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119270425210000 + 92741695802001 = 10921100^2 + 9630249^2 .

It is a cyclic number.

It is not a de Polignac number, because 212012121012001 - 2¹⁵ = 212012120979233 is a prime.

It is not a weakly prime, because it can be changed into another prime (212012121012031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106006060506000 + 106006060506001.

It is an arithmetic number, because the mean of its divisors is an integer number (106006060506001).

Almost surely, 2^{212012121012001} is an apocalyptic number.

It is an amenable number.

212012121012001 is a deficient number, since it is larger than the sum of its proper divisors (1).

212012121012001 is an equidigital number, since it uses as much as digits as its factorization.

212012121012001 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 16.

Adding to 212012121012001 its reverse (100210121210212), we get a palindrome (312222242222213).

The spelling of 212012121012001 in words is "two hundred twelve trillion, twelve billion, one hundred twenty-one million, twelve thousand, one".