1001002002020 has 48 divisors (see below), whose sum is σ = 2115740980080. Its totient is φ = 397806575616.

The previous prime is 1001002001969. The next prime is 1001002002041. The reversal of 1001002002020 is 202002001001.

It can be written as a sum of positive squares in 8 ways, for example, as 206290372864 + 794711629156 = 454192^2 + 891466^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1001002001989 and 1001002002007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4857236 + ... + 5059124.

It is an arithmetic number, because the mean of its divisors is an integer number (44077937085).

Almost surely, 2^{1001002002020} is an apocalyptic number.

1001002002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001002002020 is an abundant number, since it is smaller than the sum of its proper divisors (1114738978060).

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

1001002002020 is a wasteful number, since it uses less digits than its factorization.

1001002002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203504 (or 203502 counting only the distinct ones).

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

Adding to 1001002002020 its reverse (202002001001), we get a palindrome (1203004003021).

The spelling of 1001002002020 in words is "one trillion, one billion, two million, two thousand, twenty".