212133101 has 2 divisors, whose sum is σ = 212133102. Its totient is φ = 212133100.

The previous prime is 212133073. The next prime is 212133107. The reversal of 212133101 is 101331212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 132940900 + 79192201 = 11530^2 + 8899^2 .

It is a cyclic number.

It is not a de Polignac number, because 212133101 - 2⁶ = 212133037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212133107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106066550 + 106066551.

It is an arithmetic number, because the mean of its divisors is an integer number (106066551).

Almost surely, 2^212133101 is an apocalyptic number.

It is an amenable number.

212133101 is a deficient number, since it is larger than the sum of its proper divisors (1).

212133101 is an equidigital number, since it uses as much as digits as its factorization.

212133101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 212133101 is about 14564.7897684793. The cubic root of 212133101 is about 596.3979567101.

Adding to 212133101 its reverse (101331212), we get a palindrome (313464313).

The spelling of 212133101 in words is "two hundred twelve million, one hundred thirty-three thousand, one hundred one".