100301313300102 has 48 divisors (see below), whose sum is σ = 220092923314368. Its totient is φ = 33008967974400.

The previous prime is 100301313299977. The next prime is 100301313300103. The reversal of 100301313300102 is 201003313103001.

It is a happy number.

100301313300102 is a `hidden beast` number, since 1 + 0 + 0 + 301 + 31 + 330 + 0 + 1 + 0 + 2 = 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 (100301313300103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77504478 + ... + 78787985.

It is an arithmetic number, because the mean of its divisors is an integer number (4585269235716).

Almost surely, 2^{100301313300102} is an apocalyptic number.

100301313300102 is an abundant number, since it is smaller than the sum of its proper divisors (119791610014266).

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

100301313300102 is a wasteful number, since it uses less digits than its factorization.

100301313300102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156292925 (or 156292922 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100301313300102 its reverse (201003313103001), we get a palindrome (301304626403103).

The spelling of 100301313300102 in words is "one hundred trillion, three hundred one billion, three hundred thirteen million, three hundred thousand, one hundred two".