100221132031 has 2 divisors, whose sum is σ = 100221132032. Its totient is φ = 100221132030.

The previous prime is 100221132007. The next prime is 100221132047. The reversal of 100221132031 is 130231122001.

It is an a-pointer prime, because the next prime (100221132047) can be obtained adding 100221132031 to its sum of digits (16).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100221132031 - 2⁹ = 100221131519 is a prime.

It is a super-2 number, since 2×100221132031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100221131996 and 100221132014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100221135031) 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 as a sum of consecutive naturals, namely, 50110566015 + 50110566016.

It is an arithmetic number, because the mean of its divisors is an integer number (50110566016).

Almost surely, 2^100221132031 is an apocalyptic number.

100221132031 is a deficient number, since it is larger than the sum of its proper divisors (1).

100221132031 is an equidigital number, since it uses as much as digits as its factorization.

100221132031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100221132031 its reverse (130231122001), we get a palindrome (230452254032).

The spelling of 100221132031 in words is "one hundred billion, two hundred twenty-one million, one hundred thirty-two thousand, thirty-one".