2110121122133 has 2 divisors, whose sum is σ = 2110121122134. Its totient is φ = 2110121122132.

The previous prime is 2110121122127. The next prime is 2110121122223. The reversal of 2110121122133 is 3312211210112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1131717247684 + 978403874449 = 1063822^2 + 989143^2 .

It is a cyclic number.

It is not a de Polignac number, because 2110121122133 - 2⁶ = 2110121122069 is a prime.

It is a super-2 number, since 2×2110121122133² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2110121142133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055060561066 + 1055060561067.

It is an arithmetic number, because the mean of its divisors is an integer number (1055060561067).

Almost surely, 2^{2110121122133} is an apocalyptic number.

It is an amenable number.

2110121122133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2110121122133 is an equidigital number, since it uses as much as digits as its factorization.

2110121122133 is an evil number, because the sum of its binary digits is even.

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

Adding to 2110121122133 its reverse (3312211210112), we get a palindrome (5422332332245).

The spelling of 2110121122133 in words is "two trillion, one hundred ten billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred thirty-three".