242404100310101 has 16 divisors (see below), whose sum is σ = 246205832737200. Its totient is φ = 238615605043200.

The previous prime is 242404100310089. The next prime is 242404100310131. The reversal of 242404100310101 is 101013001404242.

It can be written as a sum of positive squares in 8 ways, for example, as 125686543422001 + 116717556888100 = 11211001^2 + 10803590^2 .

It is not a de Polignac number, because 242404100310101 - 2¹⁴ = 242404100293717 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242404100310131) 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 15 ways as a sum of consecutive naturals, for example, 148929125 + ... + 150547973.

It is an arithmetic number, because the mean of its divisors is an integer number (15387864546075).

Almost surely, 2^{242404100310101} is an apocalyptic number.

It is an amenable number.

242404100310101 is a deficient number, since it is larger than the sum of its proper divisors (3801732427099).

242404100310101 is a wasteful number, since it uses less digits than its factorization.

242404100310101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622936.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 242404100310101 its reverse (101013001404242), we get a palindrome (343417101714343).

The spelling of 242404100310101 in words is "two hundred forty-two trillion, four hundred four billion, one hundred million, three hundred ten thousand, one hundred one".