12100112012101 has 2 divisors, whose sum is σ = 12100112012102. Its totient is φ = 12100112012100.

The previous prime is 12100112012077. The next prime is 12100112012111. The reversal of 12100112012101 is 10121021100121.

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., 11038441432225 + 1061670579876 = 3322415^2 + 1030374^2 .

It is a cyclic number.

It is not a de Polignac number, because 12100112012101 - 2²⁹ = 12099575141189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12100112012111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050056006050 + 6050056006051.

It is an arithmetic number, because the mean of its divisors is an integer number (6050056006051).

Almost surely, 2^{12100112012101} is an apocalyptic number.

It is an amenable number.

12100112012101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12100112012101 is an equidigital number, since it uses as much as digits as its factorization.

12100112012101 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 12100112012101 its reverse (10121021100121), we get a palindrome (22221133112222).

The spelling of 12100112012101 in words is "twelve trillion, one hundred billion, one hundred twelve million, twelve thousand, one hundred one".