103312112210010 has 192 divisors, whose sum is σ = 298501795897344. Its totient is φ = 24580505980800.

The previous prime is 103312112209997. The next prime is 103312112210033. The reversal of 103312112210010 is 10012211213301.

103312112210010 is a `hidden beast` number, since 1 + 0 + 331 + 2 + 112 + 210 + 0 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15101727 + ... + 20849133.

It is an arithmetic number, because the mean of its divisors is an integer number (1554696853632).

Almost surely, 2^{103312112210010} is an apocalyptic number.

103312112210010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103312112210010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149250897948672).

103312112210010 is an abundant number, since it is smaller than the sum of its proper divisors (195189683687334).

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

103312112210010 is a wasteful number, since it uses less digits than its factorization.

103312112210010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5747769 (or 5747766 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 103312112210010 its reverse (10012211213301), we get a palindrome (113324323423311).

The spelling of 103312112210010 in words is "one hundred three trillion, three hundred twelve billion, one hundred twelve million, two hundred ten thousand, ten".