2100002001 has 16 divisors (see below), whose sum is σ = 2884172928. Its totient is φ = 1358294400.

The previous prime is 2100001973. The next prime is 2100002017. The reversal of 2100002001 is 1002000012.

It is a happy number.

It is not a de Polignac number, because 2100002001 - 2⁷ = 2100001873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2100002071) 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 15 ways as a sum of consecutive naturals, for example, 24901 + ... + 69426.

It is an arithmetic number, because the mean of its divisors is an integer number (180260808).

Almost surely, 2^2100002001 is an apocalyptic number.

It is an amenable number.

2100002001 is a deficient number, since it is larger than the sum of its proper divisors (784170927).

2100002001 is a wasteful number, since it uses less digits than its factorization.

2100002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94552.

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2100002001 is about 45825.7787822531. The cubic root of 2100002001 is about 1280.5795717237.

Adding to 2100002001 its reverse (1002000012), we get a palindrome (3102002013).

The spelling of 2100002001 in words is "two billion, one hundred million, two thousand, one".