11011112202121 has 2 divisors, whose sum is σ = 11011112202122. Its totient is φ = 11011112202120.

The previous prime is 11011112202049. The next prime is 11011112202133. The reversal of 11011112202121 is 12120221111011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10628154207225 + 382957994896 = 3260085^2 + 618836^2 .

It is a cyclic number.

It is not a de Polignac number, because 11011112202121 - 2⁷ = 11011112201993 is a prime.

It is a super-3 number, since 3×11011112202121³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11011112202095 and 11011112202104.

It is not a weakly prime, because it can be changed into another prime (11011112202221) 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, 5505556101060 + 5505556101061.

It is an arithmetic number, because the mean of its divisors is an integer number (5505556101061).

Almost surely, 2^{11011112202121} is an apocalyptic number.

It is an amenable number.

11011112202121 is a deficient number, since it is larger than the sum of its proper divisors (1).

11011112202121 is an equidigital number, since it uses as much as digits as its factorization.

11011112202121 is an odious number, because the sum of its binary digits is odd.

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

Adding to 11011112202121 its reverse (12120221111011), we get a palindrome (23131333313132).

The spelling of 11011112202121 in words is "eleven trillion, eleven billion, one hundred twelve million, two hundred two thousand, one hundred twenty-one".