103313021112100 has 18 divisors (see below), whose sum is σ = 224189255813474. Its totient is φ = 41325208444800.

The previous prime is 103313021112083. The next prime is 103313021112101. The reversal of 103313021112100 is 1211120313301.

It can be written as a sum of positive squares in 3 ways, for example, as 3538334054116 + 99774687057984 = 1881046^2 + 9988728^2 .

It is not an unprimeable number, because it can be changed into a prime (103313021112101) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 516565105461 + ... + 516565105660.

Almost surely, 2^{103313021112100} is an apocalyptic number.

103313021112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103313021112100 is an abundant number, since it is smaller than the sum of its proper divisors (120876234701374).

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

103313021112100 is a wasteful number, since it uses less digits than its factorization.

103313021112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033130211135 (or 1033130211128 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 103313021112100 its reverse (1211120313301), we get a palindrome (104524141425401).

The spelling of 103313021112100 in words is "one hundred three trillion, three hundred thirteen billion, twenty-one million, one hundred twelve thousand, one hundred".