2121100117 has 2 divisors, whose sum is σ = 2121100118. Its totient is φ = 2121100116.

The previous prime is 2121100103. The next prime is 2121100123. The reversal of 2121100117 is 7110011212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1760138116 + 360962001 = 41954^2 + 18999^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2121100117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2121100117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2121100127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060550058 + 1060550059.

It is an arithmetic number, because the mean of its divisors is an integer number (1060550059).

Almost surely, 2^2121100117 is an apocalyptic number.

It is an amenable number.

2121100117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121100117 is an equidigital number, since it uses as much as digits as its factorization.

2121100117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 16.

The square root of 2121100117 is about 46055.4026906725. The cubic root of 2121100117 is about 1284.8538276402.

Adding to 2121100117 its reverse (7110011212), we get a palindrome (9231111329).

The spelling of 2121100117 in words is "two billion, one hundred twenty-one million, one hundred thousand, one hundred seventeen".