12100101211001 has 2 divisors, whose sum is σ = 12100101211002. Its totient is φ = 12100101211000.

The previous prime is 12100101210971. The next prime is 12100101211111. The reversal of 12100101211001 is 10011210100121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12040039455376 + 60061755625 = 3469876^2 + 245075^2 .

It is a cyclic number.

It is not a de Polignac number, because 12100101211001 - 2³⁴ = 12082921341817 is a prime.

It is not a weakly prime, because it can be changed into another prime (12100101211301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050050605500 + 6050050605501.

It is an arithmetic number, because the mean of its divisors is an integer number (6050050605501).

Almost surely, 2^{12100101211001} is an apocalyptic number.

It is an amenable number.

12100101211001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12100101211001 is an equidigital number, since it uses as much as digits as its factorization.

12100101211001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 12100101211001 its reverse (10011210100121), we get a palindrome (22111311311122).

The spelling of 12100101211001 in words is "twelve trillion, one hundred billion, one hundred one million, two hundred eleven thousand, one".