11102111001 has 18 divisors (see below), whose sum is σ = 17035192382. Its totient is φ = 6966028800.

The previous prime is 11102110979. The next prime is 11102111023. The reversal of 11102111001 is 10011120111.

11102111001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11102110979) and next prime (11102111023).

It can be written as a sum of positive squares in 3 ways, for example, as 4857950601 + 6244160400 = 69699^2 + 79020^2 .

It is not a de Polignac number, because 11102111001 - 2⁶ = 11102110937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11102111101) 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 17 ways as a sum of consecutive naturals, for example, 2131600 + ... + 2136801.

Almost surely, 2^11102111001 is an apocalyptic number.

It is an amenable number.

11102111001 is a deficient number, since it is larger than the sum of its proper divisors (5933081381).

11102111001 is a wasteful number, since it uses less digits than its factorization.

11102111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4268441 (or 4268421 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11102111001 its reverse (10011120111), we get a palindrome (21113231112).

The spelling of 11102111001 in words is "eleven billion, one hundred two million, one hundred eleven thousand, one".