100301121121311 has 12 divisors (see below), whose sum is σ = 158050251464040. Its totient is φ = 60788558255280.

The previous prime is 100301121121307. The next prime is 100301121121337. The reversal of 100301121121311 is 113121121103001.

100301121121311 is a `hidden beast` number, since 10 + 0 + 301 + 1 + 21 + 1 + 21 + 311 = 666.

It is not a de Polignac number, because 100301121121311 - 2² = 100301121121307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100301121121351) 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, 506571318696 + ... + 506571318893.

It is an arithmetic number, because the mean of its divisors is an integer number (13170854288670).

Almost surely, 2^{100301121121311} is an apocalyptic number.

100301121121311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100301121121311 is a deficient number, since it is larger than the sum of its proper divisors (57749130342729).

100301121121311 is a wasteful number, since it uses less digits than its factorization.

100301121121311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013142637606 (or 1013142637603 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 100301121121311 its reverse (113121121103001), we get a palindrome (213422242224312).

The spelling of 100301121121311 in words is "one hundred trillion, three hundred one billion, one hundred twenty-one million, one hundred twenty-one thousand, three hundred eleven".