212112201010001 has 2 divisors, whose sum is σ = 212112201010002. Its totient is φ = 212112201010000.

The previous prime is 212112201009953. The next prime is 212112201010069. The reversal of 212112201010001 is 100010102211212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 196863769564225 + 15248431445776 = 14030815^2 + 3904924^2 .

It is a cyclic number.

It is not a de Polignac number, because 212112201010001 - 2¹⁸ = 212112200747857 is a prime.

It is not a weakly prime, because it can be changed into another prime (212112201010601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106056100505000 + 106056100505001.

It is an arithmetic number, because the mean of its divisors is an integer number (106056100505001).

Almost surely, 2^{212112201010001} is an apocalyptic number.

It is an amenable number.

212112201010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

212112201010001 is an equidigital number, since it uses as much as digits as its factorization.

212112201010001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212112201010001 its reverse (100010102211212), we get a palindrome (312122303221213).

The spelling of 212112201010001 in words is "two hundred twelve trillion, one hundred twelve billion, two hundred one million, ten thousand, one".