100300022400312 has 512 divisors, whose sum is σ = 334003882291200. Its totient is φ = 27267437058048.

The previous prime is 100300022400311. The next prime is 100300022400313. The reversal of 100300022400312 is 213004220003001.

100300022400312 is a `hidden beast` number, since 10 + 0 + 300 + 0 + 2 + 2 + 40 + 0 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (100300022400311) and next prime (100300022400313).

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 (100300022400311) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5149655118 + ... + 5149674594.

It is an arithmetic number, because the mean of its divisors is an integer number (652351332600).

Almost surely, 2^{100300022400312} is an apocalyptic number.

100300022400312 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 100300022400312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167001941145600).

100300022400312 is an abundant number, since it is smaller than the sum of its proper divisors (233703859890888).

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

100300022400312 is a wasteful number, since it uses less digits than its factorization.

100300022400312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20292 (or 20282 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100300022400312 its reverse (213004220003001), we get a palindrome (313304242403313).

The spelling of 100300022400312 in words is "one hundred trillion, three hundred billion, twenty-two million, four hundred thousand, three hundred twelve".