103313212212100 has 432 divisors, whose sum is σ = 251528463648000. Its totient is φ = 36798925363200.

The previous prime is 103313212212097. The next prime is 103313212212127. The reversal of 103313212212100 is 1212212313301.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 98487332376 + ... + 98487333424.

It is an arithmetic number, because the mean of its divisors is an integer number (582241814000).

Almost surely, 2^{103313212212100} is an apocalyptic number.

103313212212100 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 103313212212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125764231824000).

103313212212100 is an abundant number, since it is smaller than the sum of its proper divisors (148215251435900).

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

103313212212100 is a wasteful number, since it uses less digits than its factorization.

103313212212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 103313212212100 its reverse (1212212313301), we get a palindrome (104525424525401).

The spelling of 103313212212100 in words is "one hundred three trillion, three hundred thirteen billion, two hundred twelve million, two hundred twelve thousand, one hundred".