2102100010001 has 2 divisors, whose sum is σ = 2102100010002. Its totient is φ = 2102100010000.

The previous prime is 2102100009923. The next prime is 2102100010019. The reversal of 2102100010001 is 1000100012012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1964328387025 + 137771622976 = 1401545^2 + 371176^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102100010001 - 2¹⁰ = 2102100008977 is a prime.

It is not a weakly prime, because it can be changed into another prime (2102100010051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051050005000 + 1051050005001.

It is an arithmetic number, because the mean of its divisors is an integer number (1051050005001).

Almost surely, 2^{2102100010001} is an apocalyptic number.

It is an amenable number.

2102100010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102100010001 is an equidigital number, since it uses as much as digits as its factorization.

2102100010001 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 8.

Adding to 2102100010001 its reverse (1000100012012), we get a palindrome (3102200022013).

The spelling of 2102100010001 in words is "two trillion, one hundred two billion, one hundred million, ten thousand, one".