212101000111201 has 2 divisors, whose sum is σ = 212101000111202. Its totient is φ = 212101000111200.

The previous prime is 212101000111171. The next prime is 212101000111313. The reversal of 212101000111201 is 102111000101212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 176757689750625 + 35343310360576 = 13295025^2 + 5945024^2 .

It is a cyclic number.

It is not a de Polignac number, because 212101000111201 - 2⁴³ = 203304907088993 is a prime.

It is a super-2 number, since 2×212101000111201² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (212101000111001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106050500055600 + 106050500055601.

It is an arithmetic number, because the mean of its divisors is an integer number (106050500055601).

Almost surely, 2^{212101000111201} is an apocalyptic number.

It is an amenable number.

212101000111201 is a deficient number, since it is larger than the sum of its proper divisors (1).

212101000111201 is an equidigital number, since it uses as much as digits as its factorization.

212101000111201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 212101000111201 its reverse (102111000101212), we get a palindrome (314212000212413).

It can be divided in two parts, 21210100011 and 1201, that added together give a palindrome (21210101212).

The spelling of 212101000111201 in words is "two hundred twelve trillion, one hundred one billion, one hundred eleven thousand, two hundred one".