103112241332100 has 1152 divisors, whose sum is σ = 411741646848000. Its totient is φ = 19226883686400.

The previous prime is 103112241332059. The next prime is 103112241332167. The reversal of 103112241332100 is 1233142211301.

It is an unprimeable number.

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 in 383 ways as a sum of consecutive naturals, for example, 15988869676 + ... + 15988876124.

It is an arithmetic number, because the mean of its divisors is an integer number (357414624000).

Almost surely, 2^{103112241332100} is an apocalyptic number.

103112241332100 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 103112241332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205870823424000).

103112241332100 is an abundant number, since it is smaller than the sum of its proper divisors (308629405515900).

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

103112241332100 is a wasteful number, since it uses less digits than its factorization.

103112241332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7973 (or 7966 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 103112241332100 its reverse (1233142211301), we get a palindrome (104345383543401).

The spelling of 103112241332100 in words is "one hundred three trillion, one hundred twelve billion, two hundred forty-one million, three hundred thirty-two thousand, one hundred".