105004010201 has 2 divisors, whose sum is σ = 105004010202. Its totient is φ = 105004010200.

The previous prime is 105004010159. The next prime is 105004010203. The reversal of 105004010201 is 102010400501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58682640025 + 46321370176 = 242245^2 + 215224^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105004010201 is a prime.

It is a super-2 number, since 2×105004010201² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 105004010203, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (105004010203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52502005100 + 52502005101.

It is an arithmetic number, because the mean of its divisors is an integer number (52502005101).

Almost surely, 2^105004010201 is an apocalyptic number.

It is an amenable number.

105004010201 is a deficient number, since it is larger than the sum of its proper divisors (1).

105004010201 is an equidigital number, since it uses as much as digits as its factorization.

105004010201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40, while the sum is 14.

Adding to 105004010201 its reverse (102010400501), we get a palindrome (207014410702).

The spelling of 105004010201 in words is "one hundred five billion, four million, ten thousand, two hundred one".