100001022031 has 2 divisors, whose sum is σ = 100001022032. Its totient is φ = 100001022030.

The previous prime is 100001022019. The next prime is 100001022047. The reversal of 100001022031 is 130220100001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100001022031 - 2¹⁷ = 100000890959 is a prime.

It is a super-2 number, since 2×100001022031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100001021999 and 100001022017.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100001022131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000511015 + 50000511016.

It is an arithmetic number, because the mean of its divisors is an integer number (50000511016).

Almost surely, 2^100001022031 is an apocalyptic number.

100001022031 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001022031 is an equidigital number, since it uses as much as digits as its factorization.

100001022031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 100001022031 its reverse (130220100001), we get a palindrome (230221122032).

The spelling of 100001022031 in words is "one hundred billion, one million, twenty-two thousand, thirty-one".