10000110100201 has 4 divisors (see below), whose sum is σ = 10769349338692. Its totient is φ = 9230870861712.

The previous prime is 10000110100181. The next prime is 10000110100207. The reversal of 10000110100201 is 10200101100001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1730603394576 + 8269506705625 = 1315524^2 + 2875675^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000110100201 - 2⁷ = 10000110100073 is a prime.

It is a super-2 number, since 2×10000110100201² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000110100207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 384619619226 + ... + 384619619251.

It is an arithmetic number, because the mean of its divisors is an integer number (2692337334673).

Almost surely, 2^{10000110100201} is an apocalyptic number.

It is an amenable number.

10000110100201 is a deficient number, since it is larger than the sum of its proper divisors (769239238491).

10000110100201 is an equidigital number, since it uses as much as digits as its factorization.

10000110100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769239238490.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10000110100201 its reverse (10200101100001), we get a palindrome (20200211200202).

The spelling of 10000110100201 in words is "ten trillion, one hundred ten million, one hundred thousand, two hundred one".