100130130302112 has 72 divisors (see below), whose sum is σ = 284787734733684. Its totient is φ = 33371707705344.

The previous prime is 100130130302089. The next prime is 100130130302113. The reversal of 100130130302112 is 211203031031001.

100130130302112 is a `hidden beast` number, since 100 + 130 + 130 + 302 + 1 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 95943670567056 + 4186459735056 = 9795084^2 + 2046084^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (100130130302113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24128983 + ... + 27972630.

Almost surely, 2^{100130130302112} is an apocalyptic number.

100130130302112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100130130302112 is an abundant number, since it is smaller than the sum of its proper divisors (184657604431572).

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

100130130302112 is a wasteful number, since it uses less digits than its factorization.

100130130302112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52108302 (or 52108291 counting only the distinct ones).

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

Adding to 100130130302112 its reverse (211203031031001), we get a palindrome (311333161333113).

The spelling of 100130130302112 in words is "one hundred trillion, one hundred thirty billion, one hundred thirty million, three hundred two thousand, one hundred twelve".