2213121101123 has 2 divisors, whose sum is σ = 2213121101124. Its totient is φ = 2213121101122.

The previous prime is 2213121101101. The next prime is 2213121101143. The reversal of 2213121101123 is 3211011213122.

It is an a-pointer prime, because the next prime (2213121101143) can be obtained adding 2213121101123 to its sum of digits (20).

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2213121101123 is a prime.

It is a super-3 number, since 3×2213121101123³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 2213121101095 and 2213121101104.

It is not a weakly prime, because it can be changed into another prime (2213121101143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106560550561 + 1106560550562.

It is an arithmetic number, because the mean of its divisors is an integer number (1106560550562).

Almost surely, 2^{2213121101123} is an apocalyptic number.

2213121101123 is a deficient number, since it is larger than the sum of its proper divisors (1).

2213121101123 is an equidigital number, since it uses as much as digits as its factorization.

2213121101123 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 2213121101123 its reverse (3211011213122), we get a palindrome (5424132314245).

The spelling of 2213121101123 in words is "two trillion, two hundred thirteen billion, one hundred twenty-one million, one hundred one thousand, one hundred twenty-three".