2100100002001 has 2 divisors, whose sum is σ = 2100100002002. Its totient is φ = 2100100002000.

The previous prime is 2100100001999. The next prime is 2100100002037. The reversal of 2100100002001 is 1002000010012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1876064393025 + 224035608976 = 1369695^2 + 473324^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100100002001 - 2¹ = 2100100001999 is a prime.

Together with 2100100001999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2100100002041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050050001000 + 1050050001001.

It is an arithmetic number, because the mean of its divisors is an integer number (1050050001001).

Almost surely, 2^{2100100002001} is an apocalyptic number.

It is an amenable number.

2100100002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100100002001 is an equidigital number, since it uses as much as digits as its factorization.

2100100002001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 2100100002001 its reverse (1002000010012), we get a palindrome (3102100012013).

The spelling of 2100100002001 in words is "two trillion, one hundred billion, one hundred million, two thousand, one".