2112102107201 has 2 divisors, whose sum is σ = 2112102107202. Its totient is φ = 2112102107200.

The previous prime is 2112102107183. The next prime is 2112102107207. The reversal of 2112102107201 is 1027012012112.

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., 1509460417201 + 602641690000 = 1228601^2 + 776300^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112102107201 - 2¹⁴ = 2112102090817 is a prime.

It is a super-2 number, since 2×2112102107201² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2112102107207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056051053600 + 1056051053601.

It is an arithmetic number, because the mean of its divisors is an integer number (1056051053601).

Almost surely, 2^{2112102107201} is an apocalyptic number.

It is an amenable number.

2112102107201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112102107201 is an equidigital number, since it uses as much as digits as its factorization.

2112102107201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 2112102107201 its reverse (1027012012112), we get a palindrome (3139114119313).

The spelling of 2112102107201 in words is "two trillion, one hundred twelve billion, one hundred two million, one hundred seven thousand, two hundred one".