12211010100041 has 2 divisors, whose sum is σ = 12211010100042. Its totient is φ = 12211010100040.

The previous prime is 12211010100031. The next prime is 12211010100061. The reversal of 12211010100041 is 14000101011221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8424094100041 + 3786916000000 = 2902429^2 + 1946000^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12211010100041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12211010099989 and 12211010100025.

It is not a weakly prime, because it can be changed into another prime (12211010100011) 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, 6105505050020 + 6105505050021.

It is an arithmetic number, because the mean of its divisors is an integer number (6105505050021).

Almost surely, 2^{12211010100041} is an apocalyptic number.

It is an amenable number.

12211010100041 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211010100041 is an equidigital number, since it uses as much as digits as its factorization.

12211010100041 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 14.

Adding to 12211010100041 its reverse (14000101011221), we get a palindrome (26211111111262).

The spelling of 12211010100041 in words is "twelve trillion, two hundred eleven billion, ten million, one hundred thousand, forty-one".