12210100211117 has 2 divisors, whose sum is σ = 12210100211118. Its totient is φ = 12210100211116.

The previous prime is 12210100210993. The next prime is 12210100211131. The reversal of 12210100211117 is 71111200101221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11164279007401 + 1045821203716 = 3341299^2 + 1022654^2 .

It is a cyclic number.

It is not a de Polignac number, because 12210100211117 - 2²⁴ = 12210083433901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12210100211417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105050105558 + 6105050105559.

It is an arithmetic number, because the mean of its divisors is an integer number (6105050105559).

Almost surely, 2^{12210100211117} is an apocalyptic number.

It is an amenable number.

12210100211117 is a deficient number, since it is larger than the sum of its proper divisors (1).

12210100211117 is an equidigital number, since it uses as much as digits as its factorization.

12210100211117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 20.

Adding to 12210100211117 its reverse (71111200101221), we get a palindrome (83321300312338).

The spelling of 12210100211117 in words is "twelve trillion, two hundred ten billion, one hundred million, two hundred eleven thousand, one hundred seventeen".