2100209802601 has 2 divisors, whose sum is σ = 2100209802602. Its totient is φ = 2100209802600.

The previous prime is 2100209802577. The next prime is 2100209802611. The reversal of 2100209802601 is 1062089020012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1951117286976 + 149092515625 = 1396824^2 + 386125^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100209802601 - 2³¹ = 2098062318953 is a prime.

It is not a weakly prime, because it can be changed into another prime (2100209802611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050104901300 + 1050104901301.

It is an arithmetic number, because the mean of its divisors is an integer number (1050104901301).

Almost surely, 2^{2100209802601} is an apocalyptic number.

It is an amenable number.

2100209802601 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100209802601 is an equidigital number, since it uses as much as digits as its factorization.

2100209802601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 2100209802601 in words is "two trillion, one hundred billion, two hundred nine million, eight hundred two thousand, six hundred one".