101312003112 has 64 divisors (see below), whose sum is σ = 254490050880. Its totient is φ = 33609472512.

The previous prime is 101312003059. The next prime is 101312003161. The reversal of 101312003112 is 211300213101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101312003091 and 101312003100.

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 18713718 + ... + 18719130.

It is an arithmetic number, because the mean of its divisors is an integer number (3976407045).

Almost surely, 2^101312003112 is an apocalyptic number.

101312003112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101312003112 is an abundant number, since it is smaller than the sum of its proper divisors (153178047768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101312003112 is a wasteful number, since it uses less digits than its factorization.

101312003112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9002 (or 8998 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101312003112 its reverse (211300213101), we get a palindrome (312612216213).

The spelling of 101312003112 in words is "one hundred one billion, three hundred twelve million, three thousand, one hundred twelve".