1000201100020 has 12 divisors (see below), whose sum is σ = 2100422310084. Its totient is φ = 400080440000.

The previous prime is 1000201099993. The next prime is 1000201100033. The reversal of 1000201100020 is 200011020001.

It can be written as a sum of positive squares in 2 ways, for example, as 585325984356 + 414875115664 = 765066^2 + 644108^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1000201099976 and 1000201100012.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 25005027481 + ... + 25005027520.

It is an arithmetic number, because the mean of its divisors is an integer number (175035192507).

Almost surely, 2^{1000201100020} is an apocalyptic number.

1000201100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000201100020 is an abundant number, since it is smaller than the sum of its proper divisors (1100221210064).

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

1000201100020 is a wasteful number, since it uses less digits than its factorization.

1000201100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50010055010 (or 50010055008 counting only the distinct ones).

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

Adding to 1000201100020 its reverse (200011020001), we get a palindrome (1200212120021).

The spelling of 1000201100020 in words is "one trillion, two hundred one million, one hundred thousand, twenty".