12122111101 has 2 divisors, whose sum is σ = 12122111102. Its totient is φ = 12122111100.

The previous prime is 12122111087. The next prime is 12122111117. The reversal of 12122111101 is 10111122121.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8086685476 + 4035425625 = 89926^2 + 63525^2 .

It is a cyclic number.

It is not a de Polignac number, because 12122111101 - 2⁹ = 12122110589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12122111401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061055550 + 6061055551.

It is an arithmetic number, because the mean of its divisors is an integer number (6061055551).

Almost surely, 2^12122111101 is an apocalyptic number.

It is an amenable number.

12122111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122111101 is an equidigital number, since it uses as much as digits as its factorization.

12122111101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12122111101 its reverse (10111122121), we get a palindrome (22233233222).

The spelling of 12122111101 in words is "twelve billion, one hundred twenty-two million, one hundred eleven thousand, one hundred one".