2110100000201 has 2 divisors, whose sum is σ = 2110100000202. Its totient is φ = 2110100000200.

The previous prime is 2110100000179. The next prime is 2110100000209. The reversal of 2110100000201 is 1020000010112.

It is an a-pointer prime, because the next prime (2110100000209) can be obtained adding 2110100000201 to its sum of digits (8).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1213478496400 + 896621503801 = 1101580^2 + 946901^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2110100000201 is a prime.

It is not a weakly prime, because it can be changed into another prime (2110100000209) 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, 1055050000100 + 1055050000101.

It is an arithmetic number, because the mean of its divisors is an integer number (1055050000101).

Almost surely, 2^{2110100000201} is an apocalyptic number.

It is an amenable number.

2110100000201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2110100000201 is an equidigital number, since it uses as much as digits as its factorization.

2110100000201 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 2110100000201 its reverse (1020000010112), we get a palindrome (3130100010313).

The spelling of 2110100000201 in words is "two trillion, one hundred ten billion, one hundred million, two hundred one", and thus it is an aban number.