212013101 has 2 divisors, whose sum is σ = 212013102. Its totient is φ = 212013100.

The previous prime is 212013059. The next prime is 212013107. The reversal of 212013101 is 101310212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 141015625 + 70997476 = 11875^2 + 8426^2 .

It is a cyclic number.

It is not a de Polignac number, because 212013101 - 2¹⁰ = 212012077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212013107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106006550 + 106006551.

It is an arithmetic number, because the mean of its divisors is an integer number (106006551).

Almost surely, 2^212013101 is an apocalyptic number.

It is an amenable number.

212013101 is a deficient number, since it is larger than the sum of its proper divisors (1).

212013101 is an equidigital number, since it uses as much as digits as its factorization.

212013101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 212013101 is about 14560.6696617978. The cubic root of 212013101 is about 596.2854781867.

Adding to 212013101 its reverse (101310212), we get a palindrome (313323313).

The spelling of 212013101 in words is "two hundred twelve million, thirteen thousand, one hundred one".