201042240102 has 48 divisors (see below), whose sum is σ = 491576651280. Its totient is φ = 58821134400.

The previous prime is 201042240053. The next prime is 201042240121.

201042240102 is a `hidden beast` number, since 201 + 0 + 422 + 40 + 1 + 0 + 2 = 666.

201042240102 is nontrivially palindromic in base 10.

201042240102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17500549 + ... + 17512032.

It is an arithmetic number, because the mean of its divisors is an integer number (10241180235).

Almost surely, 2^201042240102 is an apocalyptic number.

201042240102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

201042240102 is an abundant number, since it is smaller than the sum of its proper divisors (290534411178).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201042240102 is a wasteful number, since it uses less digits than its factorization.

201042240102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35012629 (or 35012626 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 201042 and 240102, that added together give a palindrome (441144).

The spelling of 201042240102 in words is "two hundred one billion, forty-two million, two hundred forty thousand, one hundred two".