105201443021201 has 2 divisors, whose sum is σ = 105201443021202. Its totient is φ = 105201443021200.

The previous prime is 105201443021161. The next prime is 105201443021261. The reversal of 105201443021201 is 102120344102501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88893293448976 + 16308149572225 = 9428324^2 + 4038335^2 .

It is a cyclic number.

It is not a de Polignac number, because 105201443021201 - 2³⁰ = 105200369279377 is a prime.

It is a super-2 number, since 2×105201443021201² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105201443021261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52600721510600 + 52600721510601.

It is an arithmetic number, because the mean of its divisors is an integer number (52600721510601).

Almost surely, 2^{105201443021201} is an apocalyptic number.

It is an amenable number.

105201443021201 is a deficient number, since it is larger than the sum of its proper divisors (1).

105201443021201 is an equidigital number, since it uses as much as digits as its factorization.

105201443021201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 105201443021201 its reverse (102120344102501), we get a palindrome (207321787123702).

The spelling of 105201443021201 in words is "one hundred five trillion, two hundred one billion, four hundred forty-three million, twenty-one thousand, two hundred one".