201042242031 has 16 divisors (see below), whose sum is σ = 269210073600. Its totient is φ = 133451420928.

The previous prime is 201042241979. The next prime is 201042242041. The reversal of 201042242031 is 130242240102.

It is not a de Polignac number, because 201042242031 - 2⁷ = 201042241903 is a prime.

It is a super-2 number, since 2×201042242031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201042241989 and 201042242007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201042242041) 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, 11532840 + ... + 11550258.

It is an arithmetic number, because the mean of its divisors is an integer number (16825629600).

Almost surely, 2^201042242031 is an apocalyptic number.

201042242031 is a deficient number, since it is larger than the sum of its proper divisors (68167831569).

201042242031 is a wasteful number, since it uses less digits than its factorization.

201042242031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33758.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 201042242031 its reverse (130242240102), we get a palindrome (331284482133).

The spelling of 201042242031 in words is "two hundred one billion, forty-two million, two hundred forty-two thousand, thirty-one".