1002001010020 has 24 divisors (see below), whose sum is σ = 2104233373368. Its totient is φ = 400794451200.

The previous prime is 1002001009939. The next prime is 1002001010063. The reversal of 1002001010020 is 200101002001.

1002001010020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 428503778404 + 573497231616 = 654602^2 + 757296^2 .

It is a super-2 number, since 2×1002001010020² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1002001009985 and 1002001010012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1162600 + ... + 1831840.

It is an arithmetic number, because the mean of its divisors is an integer number (87676390557).

Almost surely, 2^{1002001010020} is an apocalyptic number.

1002001010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002001010020 is an abundant number, since it is smaller than the sum of its proper divisors (1102232363348).

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

1002001010020 is a wasteful number, since it uses less digits than its factorization.

1002001010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744111 (or 744109 counting only the distinct ones).

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

Adding to 1002001010020 its reverse (200101002001), we get a palindrome (1202102012021).

The spelling of 1002001010020 in words is "one trillion, two billion, one million, ten thousand, twenty".