10114411111120 has 20 divisors (see below), whose sum is σ = 23516005833540. Its totient is φ = 4045764444416.

The previous prime is 10114411111093. The next prime is 10114411111153. The reversal of 10114411111120 is 2111111441101.

It can be written as a sum of positive squares in 2 ways, for example, as 6130219461184 + 3984191649936 = 2475928^2 + 1996044^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63215069365 + ... + 63215069524.

It is an arithmetic number, because the mean of its divisors is an integer number (1175800291677).

Almost surely, 2^{10114411111120} is an apocalyptic number.

10114411111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10114411111120 is an abundant number, since it is smaller than the sum of its proper divisors (13401594722420).

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

10114411111120 is a wasteful number, since it uses less digits than its factorization.

10114411111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126430138902 (or 126430138896 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 19.

Adding to 10114411111120 its reverse (2111111441101), we get a palindrome (12225522552221).

The spelling of 10114411111120 in words is "ten trillion, one hundred fourteen billion, four hundred eleven million, one hundred eleven thousand, one hundred twenty".