2110000001 has 2 divisors, whose sum is σ = 2110000002. Its totient is φ = 2110000000.

The previous prime is 2109999973. The next prime is 2110000003. The reversal of 2110000001 is 1000000112.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1281711601 + 828288400 = 35801^2 + 28780^2 .

It is a cyclic number.

It is not a de Polignac number, because 2110000001 - 2⁶ = 2109999937 is a prime.

Together with 2110000003, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2110000001.

It is not a weakly prime, because it can be changed into another prime (2110000003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055000000 + 1055000001.

It is an arithmetic number, because the mean of its divisors is an integer number (1055000001).

Almost surely, 2^2110000001 is an apocalyptic number.

It is an amenable number.

2110000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2110000001 is an equidigital number, since it uses as much as digits as its factorization.

2110000001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 2110000001 is about 45934.7363223084. The cubic root of 2110000001 is about 1282.6086125870.

Adding to 2110000001 its reverse (1000000112), we get a palindrome (3110000113).

The spelling of 2110000001 in words is "two billion, one hundred ten million, one", and thus it is an aban number.