20101111000361 has 2 divisors, whose sum is σ = 20101111000362. Its totient is φ = 20101111000360.

The previous prime is 20101111000303. The next prime is 20101111000447. The reversal of 20101111000361 is 16300011110102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10462352517136 + 9638758483225 = 3234556^2 + 3104635^2 .

It is a cyclic number.

It is not a de Polignac number, because 20101111000361 - 2¹⁸ = 20101110738217 is a prime.

It is not a weakly prime, because it can be changed into another prime (20101111002361) 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 as a sum of consecutive naturals, namely, 10050555500180 + 10050555500181.

It is an arithmetic number, because the mean of its divisors is an integer number (10050555500181).

Almost surely, 2^{20101111000361} is an apocalyptic number.

It is an amenable number.

20101111000361 is a deficient number, since it is larger than the sum of its proper divisors (1).

20101111000361 is an equidigital number, since it uses as much as digits as its factorization.

20101111000361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 20101111000361 its reverse (16300011110102), we get a palindrome (36401122110463).

The spelling of 20101111000361 in words is "twenty trillion, one hundred one billion, one hundred eleven million, three hundred sixty-one", and thus it is an aban number.