212112032121001 has 2 divisors, whose sum is σ = 212112032121002. Its totient is φ = 212112032121000.

The previous prime is 212112032120977. The next prime is 212112032121023. The reversal of 212112032121001 is 100121230211212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 211034745891225 + 1077286229776 = 14527035^2 + 1037924^2 .

It is a cyclic number.

It is not a de Polignac number, because 212112032121001 - 2⁹ = 212112032120489 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212112032121001.

It is not a weakly prime, because it can be changed into another prime (212112032121091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106056016060500 + 106056016060501.

It is an arithmetic number, because the mean of its divisors is an integer number (106056016060501).

Almost surely, 2^{212112032121001} is an apocalyptic number.

It is an amenable number.

212112032121001 is a deficient number, since it is larger than the sum of its proper divisors (1).

212112032121001 is an equidigital number, since it uses as much as digits as its factorization.

212112032121001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 212112032121001 its reverse (100121230211212), we get a palindrome (312233262332213).

The spelling of 212112032121001 in words is "two hundred twelve trillion, one hundred twelve billion, thirty-two million, one hundred twenty-one thousand, one".