2002010000120 has 32 divisors (see below), whose sum is σ = 4851024232320. Its totient is φ = 739203692160.

The previous prime is 2002010000083. The next prime is 2002010000129. The reversal of 2002010000120 is 210000102002.

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 = 2002010000098 and 2002010000107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002010000129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1925009096 + ... + 1925010135.

It is an arithmetic number, because the mean of its divisors is an integer number (151594507260).

Almost surely, 2^{2002010000120} is an apocalyptic number.

2002010000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002010000120 is an abundant number, since it is smaller than the sum of its proper divisors (2849014232200).

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

2002010000120 is a wasteful number, since it uses less digits than its factorization.

2002010000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3850019255 (or 3850019251 counting only the distinct ones).

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

Adding to 2002010000120 its reverse (210000102002), we get a palindrome (2212010102122).

The spelling of 2002010000120 in words is "two trillion, two billion, ten million, one hundred twenty", and thus it is an aban number.