12202221102101 has 2 divisors, whose sum is σ = 12202221102102. Its totient is φ = 12202221102100.

The previous prime is 12202221102023. The next prime is 12202221102107. The reversal of 12202221102101 is 10120112220221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7401805831876 + 4800415270225 = 2720626^2 + 2190985^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12202221102101 is a prime.

It is a super-2 number, since 2×12202221102101² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12202221102101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12202221102107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6101110551050 + 6101110551051.

It is an arithmetic number, because the mean of its divisors is an integer number (6101110551051).

Almost surely, 2^{12202221102101} is an apocalyptic number.

It is an amenable number.

12202221102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12202221102101 is an equidigital number, since it uses as much as digits as its factorization.

12202221102101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12202221102101 its reverse (10120112220221), we get a palindrome (22322333322322).

The spelling of 12202221102101 in words is "twelve trillion, two hundred two billion, two hundred twenty-one million, one hundred two thousand, one hundred one".