2112135827 has 2 divisors, whose sum is σ = 2112135828. Its totient is φ = 2112135826.

The previous prime is 2112135821. The next prime is 2112135847. The reversal of 2112135827 is 7285312112.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2112135827 - 2²² = 2107941523 is a prime.

It is a super-2 number, since 2×2112135827² = 8922235503393947858, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112135793 and 2112135802.

It is not a weakly prime, because it can be changed into another prime (2112135821) 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 as a sum of consecutive naturals, namely, 1056067913 + 1056067914.

It is an arithmetic number, because the mean of its divisors is an integer number (1056067914).

Almost surely, 2^2112135827 is an apocalyptic number.

2112135827 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112135827 is an equidigital number, since it uses as much as digits as its factorization.

2112135827 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6720, while the sum is 32.

The square root of 2112135827 is about 45957.9789264062. The cubic root of 2112135827 is about 1283.0412358131.

Adding to 2112135827 its reverse (7285312112), we get a palindrome (9397447939).

The spelling of 2112135827 in words is "two billion, one hundred twelve million, one hundred thirty-five thousand, eight hundred twenty-seven".