103313210112100 has 36 divisors (see below), whose sum is σ = 224193229816500. Its totient is φ = 41324627109760.

The previous prime is 103313210112059. The next prime is 103313210112103. The reversal of 103313210112100 is 1211012313301.

It can be written as a sum of positive squares in 6 ways, for example, as 31502805405696 + 71810404706404 = 5612736^2 + 8474102^2 .

It is not an unprimeable number, because it can be changed into a prime (103313210112103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1865215 + ... + 14495014.

It is an arithmetic number, because the mean of its divisors is an integer number (6227589717125).

Almost surely, 2^{103313210112100} is an apocalyptic number.

103313210112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103313210112100 is an abundant number, since it is smaller than the sum of its proper divisors (120880019704400).

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

103313210112100 is a wasteful number, since it uses less digits than its factorization.

103313210112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16423392 (or 16423385 counting only the distinct ones).

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

Adding to 103313210112100 its reverse (1211012313301), we get a palindrome (104524222425401).

The spelling of 103313210112100 in words is "one hundred three trillion, three hundred thirteen billion, two hundred ten million, one hundred twelve thousand, one hundred".