10120010120 has 128 divisors (see below), whose sum is σ = 26179303680. Its totient is φ = 3484800000.

The previous prime is 10120010101. The next prime is 10120010137. The reversal of 10120010120 is 2101002101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 10120010098 and 10120010107.

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, 1017170 + ... + 1027070.

It is an arithmetic number, because the mean of its divisors is an integer number (204525810).

Almost surely, 2^10120010120 is an apocalyptic number.

10120010120 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 10120010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13089651840).

10120010120 is an abundant number, since it is smaller than the sum of its proper divisors (16059293560).

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

10120010120 is a wasteful number, since it uses less digits than its factorization.

10120010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10047 (or 10043 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10120010120 its reverse (2101002101), we get a palindrome (12221012221).

The spelling of 10120010120 in words is "ten billion, one hundred twenty million, ten thousand, one hundred twenty".