100122022002031 has 2 divisors, whose sum is σ = 100122022002032. Its totient is φ = 100122022002030.

The previous prime is 100122022001929. The next prime is 100122022002043. The reversal of 100122022002031 is 130200220221001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100122022002031 - 2¹¹ = 100122021999983 is a prime.

It is a super-2 number, since 2×100122022002031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100122022001996 and 100122022002014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100122022062031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061011001015 + 50061011001016.

It is an arithmetic number, because the mean of its divisors is an integer number (50061011001016).

Almost surely, 2^{100122022002031} is an apocalyptic number.

100122022002031 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122022002031 is an equidigital number, since it uses as much as digits as its factorization.

100122022002031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 100122022002031 its reverse (130200220221001), we get a palindrome (230322242223032).

The spelling of 100122022002031 in words is "one hundred trillion, one hundred twenty-two billion, twenty-two million, two thousand, thirty-one".