11121101001 has 6 divisors (see below), whose sum is σ = 16063812570. Its totient is φ = 7414067328.

The previous prime is 11121100997. The next prime is 11121101009. The reversal of 11121101001 is 10010112111.

11121101001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9048575376 + 2072525625 = 95124^2 + 45525^2 .

It is not a de Polignac number, because 11121101001 - 2² = 11121100997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1235677889 = 11121101001 / (1 + 1 + 1 + 2 + 1 + 1 + 0 + 1 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (11121101009) 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 5 ways as a sum of consecutive naturals, for example, 617838936 + ... + 617838953.

It is an arithmetic number, because the mean of its divisors is an integer number (2677302095).

Almost surely, 2^11121101001 is an apocalyptic number.

It is an amenable number.

11121101001 is a deficient number, since it is larger than the sum of its proper divisors (4942711569).

11121101001 is a wasteful number, since it uses less digits than its factorization.

11121101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235677895 (or 1235677892 counting only the distinct ones).

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

Adding to 11121101001 its reverse (10010112111), we get a palindrome (21131213112).

It can be divided in two parts, 1112110 and 1001, that added together give a palindrome (1113111).

The spelling of 11121101001 in words is "eleven billion, one hundred twenty-one million, one hundred one thousand, one".