10000111100201 has 2 divisors, whose sum is σ = 10000111100202. Its totient is φ = 10000111100200.

The previous prime is 10000111100179. The next prime is 10000111100219. The reversal of 10000111100201 is 10200111100001.

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., 6223602931225 + 3776508168976 = 2494715^2 + 1943324^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000111100201 - 2²² = 10000106905897 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000111100281) 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, 5000055550100 + 5000055550101.

It is an arithmetic number, because the mean of its divisors is an integer number (5000055550101).

Almost surely, 2^{10000111100201} is an apocalyptic number.

It is an amenable number.

10000111100201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000111100201 is an equidigital number, since it uses as much as digits as its factorization.

10000111100201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10000111100201 its reverse (10200111100001), we get a palindrome (20200222200202).

The spelling of 10000111100201 in words is "ten trillion, one hundred eleven million, one hundred thousand, two hundred one".