10042211241 has 12 divisors (see below), whose sum is σ = 14513023668. Its totient is φ = 6691296384.

The previous prime is 10042211239. The next prime is 10042211261. The reversal of 10042211241 is 14211224001.

10042211241 is a `hidden beast` number, since 1 + 0 + 0 + 422 + 1 + 1 + 241 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5946723225 + 4095488016 = 77115^2 + 63996^2 .

It is not a de Polignac number, because 10042211241 - 2¹ = 10042211239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10042211261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 274420 + ... + 308853.

It is an arithmetic number, because the mean of its divisors is an integer number (1209418639).

Almost surely, 2^10042211241 is an apocalyptic number.

It is an amenable number.

10042211241 is a deficient number, since it is larger than the sum of its proper divisors (4470812427).

10042211241 is a wasteful number, since it uses less digits than its factorization.

10042211241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585192 (or 585189 counting only the distinct ones).

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

Adding to 10042211241 its reverse (14211224001), we get a palindrome (24253435242).

The spelling of 10042211241 in words is "ten billion, forty-two million, two hundred eleven thousand, two hundred forty-one".