11102122012181 has 2 divisors, whose sum is σ = 11102122012182. Its totient is φ = 11102122012180.

The previous prime is 11102122012171. The next prime is 11102122012259. The reversal of 11102122012181 is 18121022120111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10479522109681 + 622599902500 = 3237209^2 + 789050^2 .

It is a cyclic number.

It is not a de Polignac number, because 11102122012181 - 2¹⁰ = 11102122011157 is a prime.

It is a super-2 number, since 2×11102122012181² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11102122012141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5551061006090 + 5551061006091.

It is an arithmetic number, because the mean of its divisors is an integer number (5551061006091).

Almost surely, 2^{11102122012181} is an apocalyptic number.

It is an amenable number.

11102122012181 is a deficient number, since it is larger than the sum of its proper divisors (1).

11102122012181 is an equidigital number, since it uses as much as digits as its factorization.

11102122012181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 23.

Adding to 11102122012181 its reverse (18121022120111), we get a palindrome (29223144132292).

The spelling of 11102122012181 in words is "eleven trillion, one hundred two billion, one hundred twenty-two million, twelve thousand, one hundred eighty-one".