12111012101221 has 6 divisors (see below), whose sum is σ = 13312104210566. Its totient is φ = 11010011001000.

The previous prime is 12111012101219. The next prime is 12111012101257. The reversal of 12111012101221 is 12210121011121.

It can be written as a sum of positive squares in only one way, i.e., 9909085536900 + 2201926564321 = 3147870^2 + 1483889^2 .

It is not a de Polignac number, because 12111012101221 - 2¹ = 12111012101219 is a prime.

It is a super-2 number, since 2×12111012101221² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12111012101195 and 12111012101204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12111012101021) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50045504430 + ... + 50045504671.

Almost surely, 2^{12111012101221} is an apocalyptic number.

12111012101221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12111012101221 is a deficient number, since it is larger than the sum of its proper divisors (1201092109345).

12111012101221 is a wasteful number, since it uses less digits than its factorization.

12111012101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100091009123 (or 100091009112 counting only the distinct ones).

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

Adding to 12111012101221 its reverse (12210121011121), we get a palindrome (24321133112342).

The spelling of 12111012101221 in words is "twelve trillion, one hundred eleven billion, twelve million, one hundred one thousand, two hundred twenty-one".