103121133332100 has 432 divisors, whose sum is σ = 325355044069440. Its totient is φ = 25205165107200.

The previous prime is 103121133332039. The next prime is 103121133332123. The reversal of 103121133332100 is 1233331121301.

103121133332100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15370563546 + ... + 15370570254.

Almost surely, 2^{103121133332100} is an apocalyptic number.

103121133332100 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 103121133332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162677522034720).

103121133332100 is an abundant number, since it is smaller than the sum of its proper divisors (222233910737340).

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

103121133332100 is a wasteful number, since it uses less digits than its factorization.

103121133332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8840 (or 8820 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 103121133332100 its reverse (1233331121301), we get a palindrome (104354464453401).

The spelling of 103121133332100 in words is "one hundred three trillion, one hundred twenty-one billion, one hundred thirty-three million, three hundred thirty-two thousand, one hundred".