2112110000201 has 2 divisors, whose sum is σ = 2112110000202. Its totient is φ = 2112110000200.

The previous prime is 2112110000177. The next prime is 2112110000219. The reversal of 2112110000201 is 1020000112112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1112389980601 + 999720019600 = 1054699^2 + 999860^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112110000201 - 2²² = 2112105805897 is a prime.

It is a super-2 number, since 2×2112110000201² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2112110000261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056055000100 + 1056055000101.

It is an arithmetic number, because the mean of its divisors is an integer number (1056055000101).

Almost surely, 2^{2112110000201} is an apocalyptic number.

It is an amenable number.

2112110000201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112110000201 is an equidigital number, since it uses as much as digits as its factorization.

2112110000201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2112110000201 its reverse (1020000112112), we get a palindrome (3132110112313).

The spelling of 2112110000201 in words is "two trillion, one hundred twelve billion, one hundred ten million, two hundred one", and thus it is an aban number.