1102112105201 has 2 divisors, whose sum is σ = 1102112105202. Its totient is φ = 1102112105200.

The previous prime is 1102112105189. The next prime is 1102112105207. The reversal of 1102112105201 is 1025012112011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 995445198400 + 106666906801 = 997720^2 + 326599^2 .

It is a cyclic number.

It is not a de Polignac number, because 1102112105201 - 2⁶ = 1102112105137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1102112105201.

It is not a weakly prime, because it can be changed into another prime (1102112105207) 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, 551056052600 + 551056052601.

It is an arithmetic number, because the mean of its divisors is an integer number (551056052601).

Almost surely, 2^{1102112105201} is an apocalyptic number.

It is an amenable number.

1102112105201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1102112105201 is an equidigital number, since it uses as much as digits as its factorization.

1102112105201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40, while the sum is 17.

Adding to 1102112105201 its reverse (1025012112011), we get a palindrome (2127124217212).

The spelling of 1102112105201 in words is "one trillion, one hundred two billion, one hundred twelve million, one hundred five thousand, two hundred one".