11121111001 has 48 divisors (see below), whose sum is σ = 15522312960. Its totient is φ = 7828773120.

The previous prime is 11121110929. The next prime is 11121111011. The reversal of 11121111001 is 10011112111.

It is not a de Polignac number, because 11121111001 - 2¹⁷ = 11120979929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11121111011) 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, 312445 + ... + 346213.

It is an arithmetic number, because the mean of its divisors is an integer number (323381520).

Almost surely, 2^11121111001 is an apocalyptic number.

11121111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11121111001 is a deficient number, since it is larger than the sum of its proper divisors (4401201959).

11121111001 is a wasteful number, since it uses less digits than its factorization.

11121111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33854 (or 33847 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 11121111001 its reverse (10011112111), we get a palindrome (21132223112).

It can be divided in two parts, 1112111 and 1001, that multiplied together give a palindrome (1113223111).

The spelling of 11121111001 in words is "eleven billion, one hundred twenty-one million, one hundred eleven thousand, one".