10120012002120 has 128 divisors (see below), whose sum is σ = 30640437434880. Its totient is φ = 2673855360000.

The previous prime is 10120012002109. The next prime is 10120012002137. The reversal of 10120012002120 is 2120021002101.

10120012002120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10120012002096 and 10120012002105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5026470 + ... + 6745770.

It is an arithmetic number, because the mean of its divisors is an integer number (239378417460).

Almost surely, 2^{10120012002120} is an apocalyptic number.

10120012002120 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 10120012002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15320218717440).

10120012002120 is an abundant number, since it is smaller than the sum of its proper divisors (20520425432760).

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

10120012002120 is a wasteful number, since it uses less digits than its factorization.

10120012002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719767 (or 1719763 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10120012002120 its reverse (2120021002101), we get a palindrome (12240033004221).

The spelling of 10120012002120 in words is "ten trillion, one hundred twenty billion, twelve million, two thousand, one hundred twenty".