10121111440 has 80 divisors (see below), whose sum is σ = 25690230720. Its totient is φ = 3677621760.

The previous prime is 10121111437. The next prime is 10121111453. The reversal of 10121111440 is 4411112101.

10121111440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1428226 + ... + 1435294.

It is an arithmetic number, because the mean of its divisors is an integer number (321127884).

Almost surely, 2^10121111440 is an apocalyptic number.

10121111440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10121111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12845115360).

10121111440 is an abundant number, since it is smaller than the sum of its proper divisors (15569119280).

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

10121111440 is a wasteful number, since it uses less digits than its factorization.

10121111440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8720 (or 8714 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10121111440 its reverse (4411112101), we get a palindrome (14532223541).

The spelling of 10121111440 in words is "ten billion, one hundred twenty-one million, one hundred eleven thousand, four hundred forty".