1002102002020 has 48 divisors (see below), whose sum is σ = 2405116586880. Its totient is φ = 343567574784.

The previous prime is 1002102002017. The next prime is 1002102002029. The reversal of 1002102002020 is 202002012001.

1002102002020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 1002102001988 and 1002102002006.

It is not an unprimeable number, because it can be changed into a prime (1002102002029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5739247 + ... + 5911273.

It is an arithmetic number, because the mean of its divisors is an integer number (50106595560).

Almost surely, 2^{1002102002020} is an apocalyptic number.

1002102002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002102002020 is an abundant number, since it is smaller than the sum of its proper divisors (1403014584860).

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

1002102002020 is a wasteful number, since it uses less digits than its factorization.

1002102002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213652 (or 213650 counting only the distinct ones).

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

Adding to 1002102002020 its reverse (202002012001), we get a palindrome (1204104014021).

The spelling of 1002102002020 in words is "one trillion, two billion, one hundred two million, two thousand, twenty".