110002000101 has 16 divisors (see below), whose sum is σ = 168214408704. Its totient is φ = 62636168304.

The previous prime is 110002000067. The next prime is 110002000103. The reversal of 110002000101 is 101000200011.

It is not a de Polignac number, because 110002000101 - 2¹⁰ = 110001999077 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110002000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110002000103) 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 in 15 ways as a sum of consecutive naturals, for example, 9248811 + ... + 9260696.

It is an arithmetic number, because the mean of its divisors is an integer number (10513400544).

Almost surely, 2^110002000101 is an apocalyptic number.

It is an amenable number.

110002000101 is a deficient number, since it is larger than the sum of its proper divisors (58212408603).

110002000101 is a wasteful number, since it uses less digits than its factorization.

110002000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18509800.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 110002000101 its reverse (101000200011), we get a palindrome (211002200112).

It can be divided in two parts, 11000200010 and 1, that added together give a palindrome (11000200011).

The spelling of 110002000101 in words is "one hundred ten billion, two million, one hundred one", and thus it is an aban number.