210112120102133 has 2 divisors, whose sum is σ = 210112120102134. Its totient is φ = 210112120102132.

The previous prime is 210112120102061. The next prime is 210112120102151. The reversal of 210112120102133 is 331201021211012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 209468365812484 + 643754289649 = 14473022^2 + 802343^2 .

It is a cyclic number.

It is not a de Polignac number, because 210112120102133 - 2³⁶ = 210043400625397 is a prime.

It is a super-2 number, since 2×210112120102133² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210112120102153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105056060051066 + 105056060051067.

It is an arithmetic number, because the mean of its divisors is an integer number (105056060051067).

Almost surely, 2^{210112120102133} is an apocalyptic number.

It is an amenable number.

210112120102133 is a deficient number, since it is larger than the sum of its proper divisors (1).

210112120102133 is an equidigital number, since it uses as much as digits as its factorization.

210112120102133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 210112120102133 its reverse (331201021211012), we get a palindrome (541313141313145).

The spelling of 210112120102133 in words is "two hundred ten trillion, one hundred twelve billion, one hundred twenty million, one hundred two thousand, one hundred thirty-three".