100221233440031 has 12 divisors (see below), whose sum is σ = 116141876063160. Its totient is φ = 85750787967360.

The previous prime is 100221233440021. The next prime is 100221233440037. The reversal of 100221233440031 is 130044332122001.

It is a de Polignac number, because none of the positive numbers 2^k-100221233440031 is a prime.

It is a super-2 number, since 2×100221233440031² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221233440037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15763009316 + ... + 15763015673.

It is an arithmetic number, because the mean of its divisors is an integer number (9678489671930).

Almost surely, 2^{100221233440031} is an apocalyptic number.

100221233440031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100221233440031 is a deficient number, since it is larger than the sum of its proper divisors (15920642623129).

100221233440031 is a wasteful number, since it uses less digits than its factorization.

100221233440031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31526025034 (or 31526025017 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 100221233440031 its reverse (130044332122001), we get a palindrome (230265565562032).

The spelling of 100221233440031 in words is "one hundred trillion, two hundred twenty-one billion, two hundred thirty-three million, four hundred forty thousand, thirty-one".