242110222011 has 72 divisors (see below), whose sum is σ = 411407942400. Its totient is φ = 136789228800.

The previous prime is 242110222007. The next prime is 242110222019. The reversal of 242110222011 is 110222011242.

242110222011 is a `hidden beast` number, since 2 + 421 + 10 + 2 + 220 + 11 = 666.

It is not a de Polignac number, because 242110222011 - 2² = 242110222007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242110222019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36030310 + ... + 36037028.

It is an arithmetic number, because the mean of its divisors is an integer number (5713999200).

Almost surely, 2^242110222011 is an apocalyptic number.

242110222011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

242110222011 is a deficient number, since it is larger than the sum of its proper divisors (169297720389).

242110222011 is a wasteful number, since it uses less digits than its factorization.

242110222011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7649 (or 7639 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 242110222011 its reverse (110222011242), we get a palindrome (352332233253).

The spelling of 242110222011 in words is "two hundred forty-two billion, one hundred ten million, two hundred twenty-two thousand, eleven".