103031212130100 has 432 divisors, whose sum is σ = 346330089705600. Its totient is φ = 25557109079040.

The previous prime is 103031212130083. The next prime is 103031212130101. The reversal of 103031212130100 is 1031212130301.

103031212130100 is a `hidden beast` number, since 1 + 0 + 30 + 312 + 1 + 21 + 301 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103031212130101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 203580166 + ... + 204085634.

Almost surely, 2^{103031212130100} is an apocalyptic number.

103031212130100 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 103031212130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173165044852800).

103031212130100 is an abundant number, since it is smaller than the sum of its proper divisors (243298877575500).

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

103031212130100 is a wasteful number, since it uses less digits than its factorization.

103031212130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505784 (or 505774 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103031212130100 its reverse (1031212130301), we get a palindrome (104062424260401).

The spelling of 103031212130100 in words is "one hundred three trillion, thirty-one billion, two hundred twelve million, one hundred thirty thousand, one hundred".