201112110000101 has 8 divisors (see below), whose sum is σ = 213005365584984. Its totient is φ = 189225869022720.

The previous prime is 201112110000097. The next prime is 201112110000121. The reversal of 201112110000101 is 101000011211102.

It can be written as a sum of positive squares in 4 ways, for example, as 178232485939876 + 22879624060225 = 13350374^2 + 4783265^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 201112110000101 - 2² = 201112110000097 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201112110000121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1753592840 + ... + 1753707521.

It is an arithmetic number, because the mean of its divisors is an integer number (26625670698123).

Almost surely, 2^{201112110000101} is an apocalyptic number.

It is an amenable number.

201112110000101 is a deficient number, since it is larger than the sum of its proper divisors (11893255584883).

201112110000101 is a wasteful number, since it uses less digits than its factorization.

201112110000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3507303751.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 201112110000101 its reverse (101000011211102), we get a palindrome (302112121211203).

The spelling of 201112110000101 in words is "two hundred one trillion, one hundred twelve billion, one hundred ten million, one hundred one", and thus it is an aban number.