1100112001101 has 48 divisors (see below), whose sum is σ = 1686677211648. Its totient is φ = 688564800000.

The previous prime is 1100112001069. The next prime is 1100112001187. The reversal of 1100112001101 is 1011002110011.

It is not a de Polignac number, because 1100112001101 - 2⁵ = 1100112001069 is a prime.

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 (1100112001201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111106251 + ... + 111116151.

It is an arithmetic number, because the mean of its divisors is an integer number (35139108576).

Almost surely, 2^{1100112001101} is an apocalyptic number.

It is an amenable number.

1100112001101 is a deficient number, since it is larger than the sum of its proper divisors (586565210547).

1100112001101 is a wasteful number, since it uses less digits than its factorization.

1100112001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11642 (or 11639 counting only the distinct ones).

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

Adding to 1100112001101 its reverse (1011002110011), we get a palindrome (2111114111112).

It can be divided in two parts, 110011 and 2001101, that added together give a palindrome (2111112).

The spelling of 1100112001101 in words is "one trillion, one hundred billion, one hundred twelve million, one thousand, one hundred one".