312102203030100 has 648 divisors, whose sum is σ = 1141176566275200. Its totient is φ = 71137790438400.

The previous prime is 312102203030099. The next prime is 312102203030147. The reversal of 312102203030100 is 1030302201213.

312102203030100 is a `hidden beast` number, since 31 + 2 + 10 + 220 + 303 + 0 + 100 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 26071517115 + ... + 26071529085.

Almost surely, 2^{312102203030100} is an apocalyptic number.

312102203030100 is a gapful number since it is divisible by the number (30) 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 312102203030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570588283137600).

312102203030100 is an abundant number, since it is smaller than the sum of its proper divisors (829074363245100).

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

312102203030100 is a wasteful number, since it uses less digits than its factorization.

312102203030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13613 (or 13596 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 312102203030100 its reverse (1030302201213), we get a palindrome (313132505231313).

The spelling of 312102203030100 in words is "three hundred twelve trillion, one hundred two billion, two hundred three million, thirty thousand, one hundred".