100121103310311 has 32 divisors (see below), whose sum is σ = 150163059594240. Its totient is φ = 66745493170200.

The previous prime is 100121103310301. The next prime is 100121103310313. The reversal of 100121103310311 is 113013301121001.

100121103310311 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 21 + 1 + 0 + 331 + 0 + 311 = 666.

It is not a de Polignac number, because 100121103310311 - 2³⁷ = 99983664356839 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121103310313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77988136 + ... + 79261538.

It is an arithmetic number, because the mean of its divisors is an integer number (4692595612320).

Almost surely, 2^{100121103310311} is an apocalyptic number.

100121103310311 is a deficient number, since it is larger than the sum of its proper divisors (50041956283929).

100121103310311 is an frugal number, since it uses more digits than its factorization.

100121103310311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309375 (or 1309357 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 100121103310311 its reverse (113013301121001), we get a palindrome (213134404431312).

The spelling of 100121103310311 in words is "one hundred trillion, one hundred twenty-one billion, one hundred three million, three hundred ten thousand, three hundred eleven".