103310112122112 has 288 divisors, whose sum is σ = 314688123043840. Its totient is φ = 29474634792960.

The previous prime is 103310112122101. The next prime is 103310112122159. The reversal of 103310112122112 is 211221211013301.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18773413953 + ... + 18773419455.

Almost surely, 2^{103310112122112} is an apocalyptic number.

103310112122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103310112122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157344061521920).

103310112122112 is an abundant number, since it is smaller than the sum of its proper divisors (211378010921728).

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

103310112122112 is a wasteful number, since it uses less digits than its factorization.

103310112122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9929 (or 9915 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 103310112122112 its reverse (211221211013301), we get a palindrome (314531323135413).

The spelling of 103310112122112 in words is "one hundred three trillion, three hundred ten billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twelve".