1002001100020 has 36 divisors (see below), whose sum is σ = 2156776146252. Its totient is φ = 391024806400.

The previous prime is 1002001100017. The next prime is 1002001100041. The reversal of 1002001100020 is 200011002001.

It can be written as a sum of positive squares in 6 ways, for example, as 626570399844 + 375430700176 = 791562^2 + 612724^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1002001099976 and 1002001100012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14868241 + ... + 14935480.

It is an arithmetic number, because the mean of its divisors is an integer number (59910448507).

Almost surely, 2^{1002001100020} is an apocalyptic number.

1002001100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002001100020 is an abundant number, since it is smaller than the sum of its proper divisors (1154775046232).

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

1002001100020 is a wasteful number, since it uses less digits than its factorization.

1002001100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29803812 (or 29803769 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1002001100020 its reverse (200011002001), we get a palindrome (1202012102021).

The spelling of 1002001100020 in words is "one trillion, two billion, one million, one hundred thousand, twenty".