10121111140 has 48 divisors (see below), whose sum is σ = 25569129600. Its totient is φ = 3287457792.

The previous prime is 10121111101. The next prime is 10121111191. The reversal of 10121111140 is 4111112101.

10121111140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10121111140.

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, 1899805 + ... + 1905124.

It is an arithmetic number, because the mean of its divisors is an integer number (532690200).

Almost surely, 2^10121111140 is an apocalyptic number.

10121111140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121111140 is an abundant number, since it is smaller than the sum of its proper divisors (15448018460).

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

10121111140 is a wasteful number, since it uses less digits than its factorization.

10121111140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3804964 (or 3804962 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10121111140 its reverse (4111112101), we get a palindrome (14232223241).

The spelling of 10121111140 in words is "ten billion, one hundred twenty-one million, one hundred eleven thousand, one hundred forty".