11100112101 has 40 divisors (see below), whose sum is σ = 17869125120. Its totient is φ = 6826262688.

The previous prime is 11100112099. The next prime is 11100112109. The reversal of 11100112101 is 10121100111.

11100112101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11100112101 - 2¹ = 11100112099 is a prime.

It is a super-3 number, since 3×11100112101³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100112109) 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 39 ways as a sum of consecutive naturals, for example, 2254120 + ... + 2259038.

It is an arithmetic number, because the mean of its divisors is an integer number (446728128).

Almost surely, 2^11100112101 is an apocalyptic number.

It is an amenable number.

11100112101 is a deficient number, since it is larger than the sum of its proper divisors (6769013019).

11100112101 is a wasteful number, since it uses less digits than its factorization.

11100112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7087 (or 7078 counting only the distinct ones).

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

Adding to 11100112101 its reverse (10121100111), we get a palindrome (21221212212).

It can be divided in two parts, 11100 and 112101, that added together give a square (123201 = 351²).

The spelling of 11100112101 in words is "eleven billion, one hundred million, one hundred twelve thousand, one hundred one".