12200222112101 has 2 divisors, whose sum is σ = 12200222112102. Its totient is φ = 12200222112100.

The previous prime is 12200222112059. The next prime is 12200222112107. The reversal of 12200222112101 is 10121122200221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12162586500100 + 37635612001 = 3487490^2 + 193999^2 .

It is an emirp because it is prime and its reverse (10121122200221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12200222112101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12200222112101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12200222112107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100111056050 + 6100111056051.

It is an arithmetic number, because the mean of its divisors is an integer number (6100111056051).

Almost surely, 2^{12200222112101} is an apocalyptic number.

It is an amenable number.

12200222112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12200222112101 is an equidigital number, since it uses as much as digits as its factorization.

12200222112101 is an evil number, because the sum of its binary digits is even.

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

Adding to 12200222112101 its reverse (10121122200221), we get a palindrome (22321344312322).

The spelling of 12200222112101 in words is "twelve trillion, two hundred billion, two hundred twenty-two million, one hundred twelve thousand, one hundred one".