2002120001020 has 24 divisors (see below), whose sum is σ = 4204485604368. Its totient is φ = 800841600000.

The previous prime is 2002120001017. The next prime is 2002120001033. The reversal of 2002120001020 is 201000212002.

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 = 2002120000988 and 2002120001006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2782620 + ... + 3427420.

It is an arithmetic number, because the mean of its divisors is an integer number (175186900182).

Almost surely, 2^{2002120001020} is an apocalyptic number.

2002120001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002120001020 is an abundant number, since it is smaller than the sum of its proper divisors (2202365603348).

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

2002120001020 is a wasteful number, since it uses less digits than its factorization.

2002120001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800061 (or 800059 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2002120001020 its reverse (201000212002), we get a palindrome (2203120213022).

The spelling of 2002120001020 in words is "two trillion, two billion, one hundred twenty million, one thousand, twenty".