10001001120 has 384 divisors, whose sum is σ = 36499921920. Its totient is φ = 2276352000.

The previous prime is 10001001119. The next prime is 10001001169. The reversal of 10001001120 is 2110010001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 10001001099 and 10001001108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13141540 + ... + 13142300.

It is an arithmetic number, because the mean of its divisors is an integer number (95051880).

Almost surely, 2^10001001120 is an apocalyptic number.

10001001120 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 10001001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18249960960).

10001001120 is an abundant number, since it is smaller than the sum of its proper divisors (26498920800).

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

10001001120 is a wasteful number, since it uses less digits than its factorization.

10001001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10001001120 its reverse (2110010001), we get a palindrome (12111011121).

The spelling of 10001001120 in words is "ten billion, one million, one thousand, one hundred twenty".