2001100020210 has 96 divisors (see below), whose sum is σ = 5403517769520. Its totient is φ = 513370497024.

The previous prime is 2001100020193. The next prime is 2001100020211. The reversal of 2001100020210 is 120200011002.

It can be written as a sum of positive squares in 8 ways, for example, as 1554906747681 + 446193272529 = 1246959^2 + 667977^2 .

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 = 2001100020192 and 2001100020201.

It is not an unprimeable number, because it can be changed into a prime (2001100020211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3079647 + ... + 3672386.

Almost surely, 2^{2001100020210} is an apocalyptic number.

2001100020210 is an abundant number, since it is smaller than the sum of its proper divisors (3402417749310).

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

2001100020210 is a wasteful number, since it uses less digits than its factorization.

2001100020210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6752172 (or 6752169 counting only the distinct ones).

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

Adding to 2001100020210 its reverse (120200011002), we get a palindrome (2121300031212).

The spelling of 2001100020210 in words is "two trillion, one billion, one hundred million, twenty thousand, two hundred ten".