2102100001 has 2 divisors, whose sum is σ = 2102100002. Its totient is φ = 2102100000.

The previous prime is 2102099959. The next prime is 2102100037. The reversal of 2102100001 is 1000012012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1775358225 + 326741776 = 42135^2 + 18076^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102100001 - 2¹¹ = 2102097953 is a prime.

It is not a weakly prime, because it can be changed into another prime (2102100041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051050000 + 1051050001.

It is an arithmetic number, because the mean of its divisors is an integer number (1051050001).

Almost surely, 2^2102100001 is an apocalyptic number.

It is an amenable number.

2102100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102100001 is an equidigital number, since it uses as much as digits as its factorization.

2102100001 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.

The square root of 2102100001 is about 45848.6641135813. The cubic root of 2102100001 is about 1281.0058827047.

Adding to 2102100001 its reverse (1000012012), we get a palindrome (3102112013).

The spelling of 2102100001 in words is "two billion, one hundred two million, one hundred thousand, one".