22111212102121 has 2 divisors, whose sum is σ = 22111212102122. Its totient is φ = 22111212102120.

The previous prime is 22111212102107. The next prime is 22111212102131. The reversal of 22111212102121 is 12120121211122.

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., 21667907814400 + 443304287721 = 4654880^2 + 665811^2 .

It is a cyclic number.

It is not a de Polignac number, because 22111212102121 - 2²⁷ = 22111077884393 is a prime.

It is a super-3 number, since 3×22111212102121³ (a number of 41 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (22111212102131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11055606051060 + 11055606051061.

It is an arithmetic number, because the mean of its divisors is an integer number (11055606051061).

Almost surely, 2^{22111212102121} is an apocalyptic number.

It is an amenable number.

22111212102121 is a deficient number, since it is larger than the sum of its proper divisors (1).

22111212102121 is an equidigital number, since it uses as much as digits as its factorization.

22111212102121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 22111212102121 its reverse (12120121211122), we get a palindrome (34231333313243).

The spelling of 22111212102121 in words is "twenty-two trillion, one hundred eleven billion, two hundred twelve million, one hundred two thousand, one hundred twenty-one".