100301200222113 has 24 divisors (see below), whose sum is σ = 158057011958976. Its totient is φ = 60786053944800.

The previous prime is 100301200222099. The next prime is 100301200222217. The reversal of 100301200222113 is 311222002103001.

100301200222113 is a `hidden beast` number, since 10 + 0 + 301 + 20 + 0 + 222 + 113 = 666.

It is not a de Polignac number, because 100301200222113 - 2⁵ = 100301200222081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100301200202113) 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, 18897570 + ... + 23616107.

It is an arithmetic number, because the mean of its divisors is an integer number (6585708831624).

Almost surely, 2^{100301200222113} is an apocalyptic number.

It is an amenable number.

100301200222113 is a deficient number, since it is larger than the sum of its proper divisors (57755811736863).

100301200222113 is a wasteful number, since it uses less digits than its factorization.

100301200222113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42537525 (or 42537522 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100301200222113 its reverse (311222002103001), we get a palindrome (411523202325114).

The spelling of 100301200222113 in words is "one hundred trillion, three hundred one billion, two hundred million, two hundred twenty-two thousand, one hundred thirteen".