10001110211120 has 80 divisors (see below), whose sum is σ = 27139790942208. Its totient is φ = 3355995636480.

The previous prime is 10001110211111. The next prime is 10001110211137. The reversal of 10001110211120 is 2111201110001.

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

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, 189964376 + ... + 190017015.

Almost surely, 2^{10001110211120} is an apocalyptic number.

10001110211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001110211120 is an abundant number, since it is smaller than the sum of its proper divisors (17138680731088).

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

10001110211120 is a wasteful number, since it uses less digits than its factorization.

10001110211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379981458 (or 379981452 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10001110211120 its reverse (2111201110001), we get a palindrome (12112311321121).

The spelling of 10001110211120 in words is "ten trillion, one billion, one hundred ten million, two hundred eleven thousand, one hundred twenty".