21121233212141 has 2 divisors, whose sum is σ = 21121233212142. Its totient is φ = 21121233212140.

The previous prime is 21121233212089. The next prime is 21121233212171. The reversal of 21121233212141 is 14121233212112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12392582496100 + 8728650716041 = 3520310^2 + 2954429^2 .

It is a cyclic number.

It is not a de Polignac number, because 21121233212141 - 2⁴² = 16723186701037 is a prime.

It is a super-3 number, since 3×21121233212141³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 21121233212141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21121233212171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10560616606070 + 10560616606071.

It is an arithmetic number, because the mean of its divisors is an integer number (10560616606071).

Almost surely, 2^{21121233212141} is an apocalyptic number.

It is an amenable number.

21121233212141 is a deficient number, since it is larger than the sum of its proper divisors (1).

21121233212141 is an equidigital number, since it uses as much as digits as its factorization.

21121233212141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1152, while the sum is 26.

Adding to 21121233212141 its reverse (14121233212112), we get a palindrome (35242466424253).

The spelling of 21121233212141 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred thirty-three million, two hundred twelve thousand, one hundred forty-one".