10020011002000 has 80 divisors (see below), whose sum is σ = 24230691783792. Its totient is φ = 4007623065600.

The previous prime is 10020011001997. The next prime is 10020011002013. The reversal of 10020011002000 is 20011002001.

It can be written as a sum of positive squares in 8 ways, for example, as 2439394164736 + 7580616837264 = 1561856^2 + 2753292^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21273042 + ... + 21738958.

Almost surely, 2^{10020011002000} is an apocalyptic number.

10020011002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020011002000 is an abundant number, since it is smaller than the sum of its proper divisors (14210680781792).

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

10020011002000 is a wasteful number, since it uses less digits than its factorization.

10020011002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476693 (or 476677 counting only the distinct ones).

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

Adding to 10020011002000 its reverse (20011002001), we get a palindrome (10040022004001).

Subtracting from 10020011002000 its reverse (20011002001), we obtain a palindrome (9999999999999).

The spelling of 10020011002000 in words is "ten trillion, twenty billion, eleven million, two thousand".