10032110000120 has 256 divisors, whose sum is σ = 25890834816000. Its totient is φ = 3467719766016.

The previous prime is 10032110000117. The next prime is 10032110000149. The reversal of 10032110000120 is 2100001123001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2781287357 + ... + 2781290963.

It is an arithmetic number, because the mean of its divisors is an integer number (101136073500).

Almost surely, 2^{10032110000120} is an apocalyptic number.

10032110000120 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 10032110000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12945417408000).

10032110000120 is an abundant number, since it is smaller than the sum of its proper divisors (15858724815880).

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

10032110000120 is a wasteful number, since it uses less digits than its factorization.

10032110000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6902 (or 6898 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10032110000120 its reverse (2100001123001), we get a palindrome (12132111123121).

The spelling of 10032110000120 in words is "ten trillion, thirty-two billion, one hundred ten million, one hundred twenty", and thus it is an aban number.