10002000120 has 128 divisors (see below), whose sum is σ = 34375242240. Its totient is φ = 2280660480.

The previous prime is 10002000119. The next prime is 10002000131. The reversal of 10002000120 is 2100020001.

It is a happy number.

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 = 10002000099 and 10002000108.

It is a congruent number.

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, 339499 + ... + 367781.

It is an arithmetic number, because the mean of its divisors is an integer number (268556580).

Almost surely, 2^10002000120 is an apocalyptic number.

10002000120 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 10002000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17187621120).

10002000120 is an abundant number, since it is smaller than the sum of its proper divisors (24373242120).

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

10002000120 is a wasteful number, since it uses less digits than its factorization.

10002000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28725 (or 28721 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 10002000120 its reverse (2100020001), we get a palindrome (12102020121).

The spelling of 10002000120 in words is "ten billion, two million, one hundred twenty", and thus it is an aban number.