2121966117 has 12 divisors (see below), whose sum is σ = 3107050284. Its totient is φ = 1395264960.

The previous prime is 2121966109. The next prime is 2121966157. The reversal of 2121966117 is 7116691212.

2121966117 is a `hidden beast` number, since 21 + 2 + 19 + 6 + 611 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1468345761 + 653620356 = 38319^2 + 25566^2 .

It is not a de Polignac number, because 2121966117 - 2³ = 2121966109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121966157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1614234 + ... + 1615547.

It is an arithmetic number, because the mean of its divisors is an integer number (258920857).

Almost surely, 2^2121966117 is an apocalyptic number.

It is an amenable number.

2121966117 is a deficient number, since it is larger than the sum of its proper divisors (985084167).

2121966117 is a wasteful number, since it uses less digits than its factorization.

2121966117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3229860 (or 3229857 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 2121966117 is about 46064.8034512251. The cubic root of 2121966117 is about 1285.0286633323.

The spelling of 2121966117 in words is "two billion, one hundred twenty-one million, nine hundred sixty-six thousand, one hundred seventeen".