242100123604011 has 64 divisors (see below), whose sum is σ = 373546221834240. Its totient is φ = 154797688604160.

The previous prime is 242100123603991. The next prime is 242100123604039. The reversal of 242100123604011 is 110406321001242.

242100123604011 is a `hidden beast` number, since 2 + 4 + 21 + 0 + 0 + 1 + 23 + 604 + 0 + 11 = 666.

It is not a de Polignac number, because 242100123604011 - 2¹⁹ = 242100123079723 is a prime.

It is a super-2 number, since 2×242100123604011² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (242100123604081) 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 63 ways as a sum of consecutive naturals, for example, 1128527820 + ... + 1128742326.

It is an arithmetic number, because the mean of its divisors is an integer number (5836659716160).

Almost surely, 2^{242100123604011} is an apocalyptic number.

242100123604011 is a deficient number, since it is larger than the sum of its proper divisors (131446098230229).

242100123604011 is a wasteful number, since it uses less digits than its factorization.

242100123604011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226593 (or 226587 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 242100123604011 its reverse (110406321001242), we get a palindrome (352506444605253).

The spelling of 242100123604011 in words is "two hundred forty-two trillion, one hundred billion, one hundred twenty-three million, six hundred four thousand, eleven".