10010111111120 has 80 divisors (see below), whose sum is σ = 24643854062928. Its totient is φ = 3768311193600.

The previous prime is 10010111111111. The next prime is 10010111111179. The reversal of 10010111111120 is 2111111101001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4833586576 + 10005277524544 = 69524^2 + 3163112^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26628470 + ... + 27001770.

Almost surely, 2^{10010111111120} is an apocalyptic number.

10010111111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010111111120 is an abundant number, since it is smaller than the sum of its proper divisors (14633742951808).

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

10010111111120 is a wasteful number, since it uses less digits than its factorization.

10010111111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393048 (or 393042 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 10010111111120 its reverse (2111111101001), we get a palindrome (12121222212121).

The spelling of 10010111111120 in words is "ten trillion, ten billion, one hundred eleven million, one hundred eleven thousand, one hundred twenty".