100022211300031 has 2 divisors, whose sum is σ = 100022211300032. Its totient is φ = 100022211300030.

The previous prime is 100022211299999. The next prime is 100022211300041. The reversal of 100022211300031 is 130003112220001.

It is a strong prime.

It is an emirp because it is prime and its reverse (130003112220001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100022211300031 - 2⁵ = 100022211299999 is a prime.

It is a super-2 number, since 2×100022211300031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100022211299978 and 100022211300014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100022211300041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50011105650015 + 50011105650016.

It is an arithmetic number, because the mean of its divisors is an integer number (50011105650016).

Almost surely, 2^{100022211300031} is an apocalyptic number.

100022211300031 is a deficient number, since it is larger than the sum of its proper divisors (1).

100022211300031 is an equidigital number, since it uses as much as digits as its factorization.

100022211300031 is an evil number, because the sum of its binary digits is even.

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

Adding to 100022211300031 its reverse (130003112220001), we get a palindrome (230025323520032).

The spelling of 100022211300031 in words is "one hundred trillion, twenty-two billion, two hundred eleven million, three hundred thousand, thirty-one".