21121110221033 has 2 divisors, whose sum is σ = 21121110221034. Its totient is φ = 21121110221032.

The previous prime is 21121110220949. The next prime is 21121110221039. The reversal of 21121110221033 is 33012201112112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21115982515369 + 5127705664 = 4595213^2 + 71608^2 .

It is a cyclic number.

It is not a de Polignac number, because 21121110221033 - 2¹⁸ = 21121109958889 is a prime.

It is a super-3 number, since 3×21121110221033³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 21121110220996 and 21121110221014.

It is not a weakly prime, because it can be changed into another prime (21121110221039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10560555110516 + 10560555110517.

It is an arithmetic number, because the mean of its divisors is an integer number (10560555110517).

Almost surely, 2^{21121110221033} is an apocalyptic number.

It is an amenable number.

21121110221033 is a deficient number, since it is larger than the sum of its proper divisors (1).

21121110221033 is an equidigital number, since it uses as much as digits as its factorization.

21121110221033 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 21121110221033 its reverse (33012201112112), we get a palindrome (54133311333145).

The spelling of 21121110221033 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred ten million, two hundred twenty-one thousand, thirty-three".