10010122120 has 128 divisors (see below), whose sum is σ = 23491399680. Its totient is φ = 3836160000.

The previous prime is 10010122099. The next prime is 10010122151. The reversal of 10010122120 is 2122101001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10010122097 and 10010122106.

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, 36937585 + ... + 36937855.

It is an arithmetic number, because the mean of its divisors is an integer number (183526560).

Almost surely, 2^10010122120 is an apocalyptic number.

10010122120 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 10010122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11745699840).

10010122120 is an abundant number, since it is smaller than the sum of its proper divisors (13481277560).

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

10010122120 is a wasteful number, since it uses less digits than its factorization.

10010122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10010122120 its reverse (2122101001), we get a palindrome (12132223121).

It can be divided in two parts, 100101 and 22120, that added together give a palindrome (122221).

The spelling of 10010122120 in words is "ten billion, ten million, one hundred twenty-two thousand, one hundred twenty".