11301121110 has 128 divisors (see below), whose sum is σ = 29498287104. Its totient is φ = 2759823360.

The previous prime is 11301121087. The next prime is 11301121129. The reversal of 11301121110 is 1112110311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6819402 + ... + 6821058.

It is an arithmetic number, because the mean of its divisors is an integer number (230455368).

Almost surely, 2^11301121110 is an apocalyptic number.

11301121110 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 11301121110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14749143552).

11301121110 is an abundant number, since it is smaller than the sum of its proper divisors (18197165994).

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

11301121110 is a wasteful number, since it uses less digits than its factorization.

11301121110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2038.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 11301121110 its reverse (1112110311), we get a palindrome (12413231421).

The spelling of 11301121110 in words is "eleven billion, three hundred one million, one hundred twenty-one thousand, one hundred ten".