10001122120 has 64 divisors (see below), whose sum is σ = 25394731200. Its totient is φ = 3511361280.

The previous prime is 10001122099. The next prime is 10001122123. The reversal of 10001122120 is 2122110001.

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 = 10001122097 and 10001122106.

It is not an unprimeable number, because it can be changed into a prime (10001122123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 379134 + ... + 404653.

It is an arithmetic number, because the mean of its divisors is an integer number (396792675).

Almost surely, 2^10001122120 is an apocalyptic number.

10001122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001122120 is an abundant number, since it is smaller than the sum of its proper divisors (15393609080).

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

10001122120 is a wasteful number, since it uses less digits than its factorization.

10001122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783838 (or 783834 counting only the distinct ones).

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

Adding to 10001122120 its reverse (2122110001), we get a palindrome (12123232121).

The spelling of 10001122120 in words is "ten billion, one million, one hundred twenty-two thousand, one hundred twenty".