12111221100031 has 2 divisors, whose sum is σ = 12111221100032. Its totient is φ = 12111221100030.

The previous prime is 12111221100019. The next prime is 12111221100053. The reversal of 12111221100031 is 13000112211121.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 12111221100031 - 2²¹ = 12111219002879 is a prime.

It is a super-2 number, since 2×12111221100031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12111221099978 and 12111221100014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12111221100091) 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, 6055610550015 + 6055610550016.

It is an arithmetic number, because the mean of its divisors is an integer number (6055610550016).

Almost surely, 2^{12111221100031} is an apocalyptic number.

12111221100031 is a deficient number, since it is larger than the sum of its proper divisors (1).

12111221100031 is an equidigital number, since it uses as much as digits as its factorization.

12111221100031 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 12111221100031 its reverse (13000112211121), we get a palindrome (25111333311152).

The spelling of 12111221100031 in words is "twelve trillion, one hundred eleven billion, two hundred twenty-one million, one hundred thousand, thirty-one".