201122431041 has 24 divisors (see below), whose sum is σ = 312521726784. Its totient is φ = 114714623520.

The previous prime is 201122431009. The next prime is 201122431051. The reversal of 201122431041 is 140134221102.

It is not a de Polignac number, because 201122431041 - 2⁵ = 201122431009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 201122430999 and 201122431017.

It is not an unprimeable number, because it can be changed into a prime (201122431051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1184965 + ... + 1344018.

It is an arithmetic number, because the mean of its divisors is an integer number (13021738616).

Almost surely, 2^201122431041 is an apocalyptic number.

201122431041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201122431041 is a deficient number, since it is larger than the sum of its proper divisors (111399295743).

201122431041 is a wasteful number, since it uses less digits than its factorization.

201122431041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529541 (or 2529534 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 201122431041 its reverse (140134221102), we get a palindrome (341256652143).

The spelling of 201122431041 in words is "two hundred one billion, one hundred twenty-two million, four hundred thirty-one thousand, forty-one".