100002123031 has 2 divisors, whose sum is σ = 100002123032. Its totient is φ = 100002123030.

The previous prime is 100002123007. The next prime is 100002123041. The reversal of 100002123031 is 130321200001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100002123031 - 2¹⁹ = 100001598743 is a prime.

It is a super-2 number, since 2×100002123031² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100002123041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50001061515 + 50001061516.

It is an arithmetic number, because the mean of its divisors is an integer number (50001061516).

Almost surely, 2^100002123031 is an apocalyptic number.

100002123031 is a deficient number, since it is larger than the sum of its proper divisors (1).

100002123031 is an equidigital number, since it uses as much as digits as its factorization.

100002123031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 100002123031 its reverse (130321200001), we get a palindrome (230323323032).

The spelling of 100002123031 in words is "one hundred billion, two million, one hundred twenty-three thousand, thirty-one".