103201232322100 has 144 divisors (see below), whose sum is σ = 244545986805120. Its totient is φ = 37490791564800.

The previous prime is 103201232322073. The next prime is 103201232322119. The reversal of 103201232322100 is 1223232102301.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6132336486 + ... + 6132353314.

It is an arithmetic number, because the mean of its divisors is an integer number (1698236019480).

Almost surely, 2^{103201232322100} is an apocalyptic number.

103201232322100 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 103201232322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122272993402560).

103201232322100 is an abundant number, since it is smaller than the sum of its proper divisors (141344754483020).

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

103201232322100 is a wasteful number, since it uses less digits than its factorization.

103201232322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22010 (or 22003 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 103201232322100 its reverse (1223232102301), we get a palindrome (104424464424401).

The spelling of 103201232322100 in words is "one hundred three trillion, two hundred one billion, two hundred thirty-two million, three hundred twenty-two thousand, one hundred".