2102001000201 has 24 divisors (see below), whose sum is σ = 3055120657160. Its totient is φ = 1392634944000.

The previous prime is 2102001000133. The next prime is 2102001000287. The reversal of 2102001000201 is 1020001002012.

It can be written as a sum of positive squares in 4 ways, for example, as 1063680759801 + 1038320240400 = 1031349^2 + 1018980^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2102001000201 is a prime.

It is a super-3 number, since 3×2102001000201³ (a number of 38 digits) contains 333 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2102001000301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172401 + ... + 2057601.

Almost surely, 2^{2102001000201} is an apocalyptic number.

It is an amenable number.

2102001000201 is a deficient number, since it is larger than the sum of its proper divisors (953119656959).

2102001000201 is a wasteful number, since it uses less digits than its factorization.

2102001000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885977 (or 1885974 counting only the distinct ones).

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

Adding to 2102001000201 its reverse (1020001002012), we get a palindrome (3122002002213).

The spelling of 2102001000201 in words is "two trillion, one hundred two billion, one million, two hundred one", and thus it is an aban number.