2117052100 has 18 divisors (see below), whose sum is σ = 4594003274. Its totient is φ = 846820800.

The previous prime is 2117052073. The next prime is 2117052121. The reversal of 2117052100 is 12507112.

It can be written as a sum of positive squares in 3 ways, for example, as 319122496 + 1797929604 = 17864^2 + 42402^2 .

It is a super-2 number, since 2×2117052100² = 8963819188228820000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10585161 + ... + 10585360.

Almost surely, 2^2117052100 is an apocalyptic number.

2117052100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2117052100 is an abundant number, since it is smaller than the sum of its proper divisors (2476951174).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2117052100 is a wasteful number, since it uses less digits than its factorization.

2117052100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21170535 (or 21170528 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 2117052100 is about 46011.4344484064. The cubic root of 2117052100 is about 1284.0359466585.

Adding to 2117052100 its reverse (12507112), we get a palindrome (2129559212).

The spelling of 2117052100 in words is "two billion, one hundred seventeen million, fifty-two thousand, one hundred".