212120010010133 has 2 divisors, whose sum is σ = 212120010010134. Its totient is φ = 212120010010132.

The previous prime is 212120010010123. The next prime is 212120010010231. The reversal of 212120010010133 is 331010010021212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 205376213888209 + 6743796121924 = 14330953^2 + 2596882^2 .

It is a cyclic number.

It is not a de Polignac number, because 212120010010133 - 2¹⁶ = 212120009944597 is a prime.

It is a super-3 number, since 3×212120010010133³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212120010010123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106060005005066 + 106060005005067.

It is an arithmetic number, because the mean of its divisors is an integer number (106060005005067).

Almost surely, 2^{212120010010133} is an apocalyptic number.

It is an amenable number.

212120010010133 is a deficient number, since it is larger than the sum of its proper divisors (1).

212120010010133 is an equidigital number, since it uses as much as digits as its factorization.

212120010010133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 212120010010133 its reverse (331010010021212), we get a palindrome (543130020031345).

The spelling of 212120010010133 in words is "two hundred twelve trillion, one hundred twenty billion, ten million, ten thousand, one hundred thirty-three".