12100100101 has 2 divisors, whose sum is σ = 12100100102. Its totient is φ = 12100100100.

The previous prime is 12100100083. The next prime is 12100100147. The reversal of 12100100101 is 10100100121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11433169476 + 666930625 = 106926^2 + 25825^2 .

It is a cyclic number.

It is not a de Polignac number, because 12100100101 - 2¹¹ = 12100098053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12100100161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050050050 + 6050050051.

It is an arithmetic number, because the mean of its divisors is an integer number (6050050051).

Almost surely, 2^12100100101 is an apocalyptic number.

It is an amenable number.

12100100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12100100101 is an equidigital number, since it uses as much as digits as its factorization.

12100100101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 12100100101 its reverse (10100100121), we get a palindrome (22200200222).

The spelling of 12100100101 in words is "twelve billion, one hundred million, one hundred thousand, one hundred one".