103131332102100 has 144 divisors (see below), whose sum is σ = 302026831781696. Its totient is φ = 27167851008000.

The previous prime is 103131332102081. The next prime is 103131332102107. The reversal of 103131332102100 is 1201233131301.

It is a happy number.

It is a super-2 number, since 2×103131332102100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103131332102107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12467655 + ... + 19018545.

Almost surely, 2^{103131332102100} is an apocalyptic number.

103131332102100 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 103131332102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151013415890848).

103131332102100 is an abundant number, since it is smaller than the sum of its proper divisors (198895499679596).

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

103131332102100 is a wasteful number, since it uses less digits than its factorization.

103131332102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6551546 (or 6551539 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 103131332102100 its reverse (1201233131301), we get a palindrome (104332565233401).

The spelling of 103131332102100 in words is "one hundred three trillion, one hundred thirty-one billion, three hundred thirty-two million, one hundred two thousand, one hundred".