12201002121101 has 2 divisors, whose sum is σ = 12201002121102. Its totient is φ = 12201002121100.

The previous prime is 12201002121079. The next prime is 12201002121107. The reversal of 12201002121101 is 10112120010221.

12201002121101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11988033715876 + 212968405225 = 3462374^2 + 461485^2 .

It is a cyclic number.

It is not a de Polignac number, because 12201002121101 - 2³⁸ = 11926124214157 is a prime.

It is a super-2 number, since 2×12201002121101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12201002121107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100501060550 + 6100501060551.

It is an arithmetic number, because the mean of its divisors is an integer number (6100501060551).

Almost surely, 2^{12201002121101} is an apocalyptic number.

It is an amenable number.

12201002121101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12201002121101 is an equidigital number, since it uses as much as digits as its factorization.

12201002121101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12201002121101 its reverse (10112120010221), we get a palindrome (22313122131322).

The spelling of 12201002121101 in words is "twelve trillion, two hundred one billion, two million, one hundred twenty-one thousand, one hundred one".