11121110010 has 96 divisors (see below), whose sum is σ = 29452325760. Its totient is φ = 2910672000.

The previous prime is 11121110009. The next prime is 11121110041. The reversal of 11121110010 is 1001112111.

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

It is a junction number, because it is equal to n+sod(n) for n = 11121109974 and 11121110001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4358235 + ... + 4360785.

It is an arithmetic number, because the mean of its divisors is an integer number (306795060).

Almost surely, 2^11121110010 is an apocalyptic number.

11121110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11121110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14726162880).

11121110010 is an abundant number, since it is smaller than the sum of its proper divisors (18331215750).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11121110010 is a wasteful number, since it uses less digits than its factorization.

11121110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3444 (or 3441 counting only the distinct ones).

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

Adding to 11121110010 its reverse (1001112111), we get a palindrome (12122222121).

The spelling of 11121110010 in words is "eleven billion, one hundred twenty-one million, one hundred ten thousand, ten".