10121110001140 has 96 divisors (see below), whose sum is σ = 22525243614720. Its totient is φ = 3809354126976.

The previous prime is 10121110001087. The next prime is 10121110001141. The reversal of 10121110001140 is 4110001112101.

It is a super-2 number, since 2×10121110001140² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10121110001140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121110001141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32861499 + ... + 33168061.

It is an arithmetic number, because the mean of its divisors is an integer number (234637954320).

Almost surely, 2^{10121110001140} is an apocalyptic number.

10121110001140 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 10121110001140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11262621807360).

10121110001140 is an abundant number, since it is smaller than the sum of its proper divisors (12404133613580).

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

10121110001140 is a wasteful number, since it uses less digits than its factorization.

10121110001140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307181 (or 307179 counting only the distinct ones).

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

Adding to 10121110001140 its reverse (4110001112101), we get a palindrome (14231111113241).

The spelling of 10121110001140 in words is "ten trillion, one hundred twenty-one billion, one hundred ten million, one thousand, one hundred forty".