100302014202312 has 256 divisors, whose sum is σ = 276686080957440. Its totient is φ = 30111419520000.

The previous prime is 100302014202283. The next prime is 100302014202317. The reversal of 100302014202312 is 213202410203001.

It is a super-2 number, since 2×100302014202312² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100302014202317) 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 63 ways as a sum of consecutive naturals, for example, 6808899987 + ... + 6808914717.

It is an arithmetic number, because the mean of its divisors is an integer number (1080805003740).

Almost surely, 2^{100302014202312} is an apocalyptic number.

100302014202312 is a gapful number since it is divisible by the number (12) 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 100302014202312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138343040478720).

100302014202312 is an abundant number, since it is smaller than the sum of its proper divisors (176384066755128).

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

100302014202312 is a wasteful number, since it uses less digits than its factorization.

100302014202312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17676 (or 17672 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 100302014202312 its reverse (213202410203001), we get a palindrome (313504424405313).

The spelling of 100302014202312 in words is "one hundred trillion, three hundred two billion, fourteen million, two hundred two thousand, three hundred twelve".