201102112000001 has 2 divisors, whose sum is σ = 201102112000002. Its totient is φ = 201102112000000.

The previous prime is 201102111999977. The next prime is 201102112000043. The reversal of 201102112000001 is 100000211201102.

201102112000001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 197067577781776 + 4034534218225 = 14038076^2 + 2008615^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-201102112000001 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (201102112000081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100551056000000 + 100551056000001.

It is an arithmetic number, because the mean of its divisors is an integer number (100551056000001).

Almost surely, 2^{201102112000001} is an apocalyptic number.

It is an amenable number.

201102112000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

201102112000001 is an equidigital number, since it uses as much as digits as its factorization.

201102112000001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 201102112000001 its reverse (100000211201102), we get a palindrome (301102323201103).

The spelling of 201102112000001 in words is "two hundred one trillion, one hundred two billion, one hundred twelve million, one", and thus it is an aban number.