2001000100211 has 24 divisors (see below), whose sum is σ = 2429106529824. Its totient is φ = 1640430718080.

The previous prime is 2001000100207. The next prime is 2001000100219. The reversal of 2001000100211 is 1120010001002.

It is not a de Polignac number, because 2001000100211 - 2² = 2001000100207 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2001000100219) by changing a digit.

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, 14257721 + ... + 14397381.

It is an arithmetic number, because the mean of its divisors is an integer number (101212772076).

Almost surely, 2^{2001000100211} is an apocalyptic number.

2001000100211 is a deficient number, since it is larger than the sum of its proper divisors (428106429613).

2001000100211 is a wasteful number, since it uses less digits than its factorization.

2001000100211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152411 (or 152404 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2001000100211 its reverse (1120010001002), we get a palindrome (3121010101213).

It can be divided in two parts, 20010001002 and 11, that multiplied together give a palindrome (220110011022).

The spelling of 2001000100211 in words is "two trillion, one billion, one hundred thousand, two hundred eleven".