2111200110009 has 40 divisors (see below), whose sum is σ = 3205838392328. Its totient is φ = 1384234064640.

The previous prime is 2111200109989. The next prime is 2111200110023. The reversal of 2111200110009 is 9000110021112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4629441600 + 2106570668409 = 68040^2 + 1451403^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2111200110009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2111200109973 and 2111200110000.

It is not an unprimeable number, because it can be changed into a prime (2111200110029) 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 in 39 ways as a sum of consecutive naturals, for example, 55601859 + ... + 55639815.

Almost surely, 2^{2111200110009} is an apocalyptic number.

It is an amenable number.

2111200110009 is a deficient number, since it is larger than the sum of its proper divisors (1094638282319).

2111200110009 is a wasteful number, since it uses less digits than its factorization.

2111200110009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49287 (or 49278 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 2111200110009 in words is "two trillion, one hundred eleven billion, two hundred million, one hundred ten thousand, nine".