2000021100201 has 28 divisors (see below), whose sum is σ = 2998806603828. Its totient is φ = 1333282166784.

The previous prime is 2000021100167. The next prime is 2000021100263. The reversal of 2000021100201 is 1020011200002.

It can be written as a sum of positive squares in 2 ways, for example, as 598922757801 + 1401098342400 = 773901^2 + 1183680^2 .

It is not a de Polignac number, because 2000021100201 - 2⁷ = 2000021100073 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (2000021100271) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 18282001 + ... + 18391073.

It is an arithmetic number, because the mean of its divisors is an integer number (107100235851).

Almost surely, 2^{2000021100201} is an apocalyptic number.

It is an amenable number.

2000021100201 is a deficient number, since it is larger than the sum of its proper divisors (998785503627).

2000021100201 is an equidigital number, since it uses as much as digits as its factorization.

2000021100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134244 (or 134229 counting only the distinct ones).

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

Adding to 2000021100201 its reverse (1020011200002), we get a palindrome (3020032300203).

The spelling of 2000021100201 in words is "two trillion, twenty-one million, one hundred thousand, two hundred one".