103313212232100 has 288 divisors, whose sum is σ = 353589065518080. Its totient is φ = 23044974543360.

The previous prime is 103313212232093. The next prime is 103313212232149. The reversal of 103313212232100 is 1232212313301.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28605274 + ... + 32013873.

Almost surely, 2^{103313212232100} is an apocalyptic number.

103313212232100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103313212232100 is an abundant number, since it is smaller than the sum of its proper divisors (250275853285980).

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

103313212232100 is a wasteful number, since it uses less digits than its factorization.

103313212232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60619219 (or 60619212 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 103313212232100 its reverse (1232212313301), we get a palindrome (104545424545401).

The spelling of 103313212232100 in words is "one hundred three trillion, three hundred thirteen billion, two hundred twelve million, two hundred thirty-two thousand, one hundred".