22011011103121 has 2 divisors, whose sum is σ = 22011011103122. Its totient is φ = 22011011103120.

The previous prime is 22011011103113. The next prime is 22011011103167. The reversal of 22011011103121 is 12130111011022.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17696417437521 + 4314593665600 = 4206711^2 + 2077160^2 .

It is a cyclic number.

It is not a de Polignac number, because 22011011103121 - 2³ = 22011011103113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22011011103095 and 22011011103104.

It is not a weakly prime, because it can be changed into another prime (22011011193121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11005505551560 + 11005505551561.

It is an arithmetic number, because the mean of its divisors is an integer number (11005505551561).

Almost surely, 2^{22011011103121} is an apocalyptic number.

It is an amenable number.

22011011103121 is a deficient number, since it is larger than the sum of its proper divisors (1).

22011011103121 is an equidigital number, since it uses as much as digits as its factorization.

22011011103121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 22011011103121 its reverse (12130111011022), we get a palindrome (34141122114143).

The spelling of 22011011103121 in words is "twenty-two trillion, eleven billion, eleven million, one hundred three thousand, one hundred twenty-one".