101112000331 has 2 divisors, whose sum is σ = 101112000332. Its totient is φ = 101112000330.

The previous prime is 101112000287. The next prime is 101112000343. The reversal of 101112000331 is 133000211101.

It is a strong prime.

It is an emirp because it is prime and its reverse (133000211101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101112000331 - 2¹³ = 101111992139 is a prime.

It is a super-2 number, since 2×101112000331² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101112000931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556000165 + 50556000166.

It is an arithmetic number, because the mean of its divisors is an integer number (50556000166).

Almost surely, 2^101112000331 is an apocalyptic number.

101112000331 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112000331 is an equidigital number, since it uses as much as digits as its factorization.

101112000331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 101112000331 its reverse (133000211101), we get a palindrome (234112211432).

The spelling of 101112000331 in words is "one hundred one billion, one hundred twelve million, three hundred thirty-one", and thus it is an aban number.