2110121100133 has 2 divisors, whose sum is σ = 2110121100134. Its totient is φ = 2110121100132.

The previous prime is 2110121100119. The next prime is 2110121100137. The reversal of 2110121100133 is 3310011210112.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1220302436929 + 889818663204 = 1104673^2 + 943302^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2110121100133 is a prime.

It is a super-2 number, since 2×2110121100133² (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 (2110121100137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055060550066 + 1055060550067.

It is an arithmetic number, because the mean of its divisors is an integer number (1055060550067).

Almost surely, 2^{2110121100133} is an apocalyptic number.

It is an amenable number.

2110121100133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2110121100133 is an equidigital number, since it uses as much as digits as its factorization.

2110121100133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 2110121100133 its reverse (3310011210112), we get a palindrome (5420132310245).

The spelling of 2110121100133 in words is "two trillion, one hundred ten billion, one hundred twenty-one million, one hundred thousand, one hundred thirty-three".