12211122100113 has 12 divisors (see below), whose sum is σ = 17638318533108. Its totient is φ = 8140733733600.

The previous prime is 12211122100103. The next prime is 12211122100141. The reversal of 12211122100113 is 31100122111221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4185391747329 + 8025730352784 = 2045823^2 + 2832972^2 .

It is not a de Polignac number, because 12211122100113 - 2³³ = 12202532165521 is a prime.

It is a super-2 number, since 2×12211122100113² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12211122100103) 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 in 11 ways as a sum of consecutive naturals, for example, 7641531 + ... + 9100287.

It is an arithmetic number, because the mean of its divisors is an integer number (1469859877759).

Almost surely, 2^{12211122100113} is an apocalyptic number.

It is an amenable number.

12211122100113 is a deficient number, since it is larger than the sum of its proper divisors (5427196432995).

12211122100113 is a wasteful number, since it uses less digits than its factorization.

12211122100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388864 (or 2388861 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 12211122100113 its reverse (31100122111221), we get a palindrome (43311244211334).

The spelling of 12211122100113 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-two million, one hundred thousand, one hundred thirteen".