11101112112221 has 2 divisors, whose sum is σ = 11101112112222. Its totient is φ = 11101112112220.

The previous prime is 11101112112179. The next prime is 11101112112269. The reversal of 11101112112221 is 12221121110111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7723474624996 + 3377637487225 = 2779114^2 + 1837835^2 .

It is a cyclic number.

It is not a de Polignac number, because 11101112112221 - 2²² = 11101107917917 is a prime.

It is a super-3 number, since 3×11101112112221³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11101112112221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11101112112521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5550556056110 + 5550556056111.

It is an arithmetic number, because the mean of its divisors is an integer number (5550556056111).

Almost surely, 2^{11101112112221} is an apocalyptic number.

It is an amenable number.

11101112112221 is a deficient number, since it is larger than the sum of its proper divisors (1).

11101112112221 is an equidigital number, since it uses as much as digits as its factorization.

11101112112221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 11101112112221 its reverse (12221121110111), we get a palindrome (23322233222332).

The spelling of 11101112112221 in words is "eleven trillion, one hundred one billion, one hundred twelve million, one hundred twelve thousand, two hundred twenty-one".