11121000310 has 96 divisors (see below), whose sum is σ = 24183919872. Its totient is φ = 3668474880.

The previous prime is 11121000307. The next prime is 11121000311. The reversal of 11121000310 is 1300012111.

It is a super-2 number, since 2×11121000310² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121000311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1462779 + ... + 1470361.

It is an arithmetic number, because the mean of its divisors is an integer number (251915832).

Almost surely, 2^11121000310 is an apocalyptic number.

11121000310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11121000310 is an abundant number, since it is smaller than the sum of its proper divisors (13062919562).

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

11121000310 is a wasteful number, since it uses less digits than its factorization.

11121000310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7718 (or 7711 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 11121000310 its reverse (1300012111), we get a palindrome (12421012421).

The spelling of 11121000310 in words is "eleven billion, one hundred twenty-one million, three hundred ten", and thus it is an aban number.