2117100083 has 16 divisors (see below), whose sum is σ = 2596973760. Its totient is φ = 1684509696.

The previous prime is 2117100071. The next prime is 2117100109. The reversal of 2117100083 is 3800017112.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2117100083 - 2⁸ = 2117099827 is a prime.

It is a super-2 number, since 2×2117100083² = 8964225522877213778, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2117100053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113168 + ... + 130541.

It is an arithmetic number, because the mean of its divisors is an integer number (162310860).

Almost surely, 2^2117100083 is an apocalyptic number.

2117100083 is a deficient number, since it is larger than the sum of its proper divisors (479873677).

2117100083 is a wasteful number, since it uses less digits than its factorization.

2117100083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243806.

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 2117100083 is about 46011.9558701866. The cubic root of 2117100083 is about 1284.0456474796.

Adding to 2117100083 its reverse (3800017112), we get a palindrome (5917117195).

The spelling of 2117100083 in words is "two billion, one hundred seventeen million, one hundred thousand, eighty-three".