12101100031 has 2 divisors, whose sum is σ = 12101100032. Its totient is φ = 12101100030.

The previous prime is 12101100023. The next prime is 12101100041. The reversal of 12101100031 is 13000110121.

12101100031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (12101100041) can be obtained adding 12101100031 to its sum of digits (10).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 12101100031 - 2³ = 12101100023 is a prime.

It is a super-2 number, since 2×12101100031² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12101099990 and 12101100017.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12101100001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050550015 + 6050550016.

It is an arithmetic number, because the mean of its divisors is an integer number (6050550016).

Almost surely, 2^12101100031 is an apocalyptic number.

12101100031 is a deficient number, since it is larger than the sum of its proper divisors (1).

12101100031 is an equidigital number, since it uses as much as digits as its factorization.

12101100031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 12101100031 its reverse (13000110121), we get a palindrome (25101210152).

The spelling of 12101100031 in words is "twelve billion, one hundred one million, one hundred thousand, thirty-one".