10111132120 has 64 divisors (see below), whose sum is σ = 23957208000. Its totient is φ = 3833077248.

The previous prime is 10111132111. The next prime is 10111132121. The reversal of 10111132120 is 2123111101.

It is a happy number.

10111132120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10111132120³ (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10111132120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111132121) by changing a digit.

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, 49866 + ... + 150694.

It is an arithmetic number, because the mean of its divisors is an integer number (374331375).

Almost surely, 2^10111132120 is an apocalyptic number.

10111132120 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 10111132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11978604000).

10111132120 is an abundant number, since it is smaller than the sum of its proper divisors (13846075880).

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

10111132120 is a wasteful number, since it uses less digits than its factorization.

10111132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100972 (or 100968 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10111132120 its reverse (2123111101), we get a palindrome (12234243221).

The spelling of 10111132120 in words is "ten billion, one hundred eleven million, one hundred thirty-two thousand, one hundred twenty".