103312103210120 has 256 divisors, whose sum is σ = 268880897779200. Its totient is φ = 34994687385600.

The previous prime is 103312103209979. The next prime is 103312103210177. The reversal of 103312103210120 is 21012301213301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 103312103210092 and 103312103210101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7414914674 + ... + 7414928606.

It is an arithmetic number, because the mean of its divisors is an integer number (1050316006950).

Almost surely, 2^{103312103210120} is an apocalyptic number.

103312103210120 is a gapful number since it is divisible by the number (10) 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 103312103210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134440448889600).

103312103210120 is an abundant number, since it is smaller than the sum of its proper divisors (165568794569080).

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

103312103210120 is a wasteful number, since it uses less digits than its factorization.

103312103210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15008 (or 15004 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 103312103210120 its reverse (21012301213301), we get a palindrome (124324404423421).

The spelling of 103312103210120 in words is "one hundred three trillion, three hundred twelve billion, one hundred three million, two hundred ten thousand, one hundred twenty".