2005002121020 has 24 divisors (see below), whose sum is σ = 5614005939024. Its totient is φ = 534667232256.

The previous prime is 2005002121019. The next prime is 2005002121051. The reversal of 2005002121020 is 201212005002.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 16708350949 + ... + 16708351068.

It is an arithmetic number, because the mean of its divisors is an integer number (233916914126).

Almost surely, 2^{2005002121020} is an apocalyptic number.

2005002121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005002121020 is an abundant number, since it is smaller than the sum of its proper divisors (3609003818004).

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

2005002121020 is a wasteful number, since it uses less digits than its factorization.

2005002121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33416702029 (or 33416702027 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 2005002121020 its reverse (201212005002), we get a palindrome (2206214126022).

The spelling of 2005002121020 in words is "two trillion, five billion, two million, one hundred twenty-one thousand, twenty".