221431102131042 has 96 divisors (see below), whose sum is σ = 516750935042160. Its totient is φ = 68387219712000.

The previous prime is 221431102131037. The next prime is 221431102131061. The reversal of 221431102131042 is 240131201134122.

221431102131042 is a `hidden beast` number, since 2 + 2 + 1 + 431 + 1 + 0 + 213 + 10 + 4 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 42246347078961 + 179184755052081 = 6499719^2 + 13385991^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221431102130997 and 221431102131015.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83500059 + ... + 86111102.

Almost surely, 2^{221431102131042} is an apocalyptic number.

221431102131042 is an abundant number, since it is smaller than the sum of its proper divisors (295319832911118).

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

221431102131042 is a wasteful number, since it uses less digits than its factorization.

221431102131042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169611300 (or 169611297 counting only the distinct ones).

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

Adding to 221431102131042 its reverse (240131201134122), we get a palindrome (461562303265164).

The spelling of 221431102131042 in words is "two hundred twenty-one trillion, four hundred thirty-one billion, one hundred two million, one hundred thirty-one thousand, forty-two".