2121113177 has 2 divisors, whose sum is σ = 2121113178. Its totient is φ = 2121113176.

The previous prime is 2121113131. The next prime is 2121113201. The reversal of 2121113177 is 7713111212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1914587536 + 206525641 = 43756^2 + 14371^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121113177 - 2¹⁶ = 2121047641 is a prime.

It is a super-2 number, since 2×2121113177² = 8998242219286066658, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2121133177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060556588 + 1060556589.

It is an arithmetic number, because the mean of its divisors is an integer number (1060556589).

Almost surely, 2^2121113177 is an apocalyptic number.

It is an amenable number.

2121113177 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121113177 is an equidigital number, since it uses as much as digits as its factorization.

2121113177 is an evil number, because the sum of its binary digits is even.

The product of its digits is 588, while the sum is 26.

The square root of 2121113177 is about 46055.5444762083. The cubic root of 2121113177 is about 1284.8564646612.

Adding to 2121113177 its reverse (7713111212), we get a palindrome (9834224389).

The spelling of 2121113177 in words is "two billion, one hundred twenty-one million, one hundred thirteen thousand, one hundred seventy-seven".