2001100220010 has 48 divisors (see below), whose sum is σ = 5343478434216. Its totient is φ = 519204380544.

The previous prime is 2001100219991. The next prime is 2001100220023. The reversal of 2001100220010 is 100220011002.

It can be written as a sum of positive squares in 4 ways, for example, as 1968361298289 + 32738921721 = 1402983^2 + 180939^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2001100219974 and 2001100220001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300462169 + ... + 300468828.

Almost surely, 2^{2001100220010} is an apocalyptic number.

2001100220010 is an abundant number, since it is smaller than the sum of its proper divisors (3342378214206).

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

2001100220010 is a wasteful number, since it uses less digits than its factorization.

2001100220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600931047 (or 600931044 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2001100220010 its reverse (100220011002), we get a palindrome (2101320231012).

The spelling of 2001100220010 in words is "two trillion, one billion, one hundred million, two hundred twenty thousand, ten".