100121112110331 has 24 divisors (see below), whose sum is σ = 155765426530896. Its totient is φ = 61604496717120.

The previous prime is 100121112110233. The next prime is 100121112110339. The reversal of 100121112110331 is 133011211121001.

100121112110331 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 211 + 12 + 110 + 331 = 666.

It is not a de Polignac number, because 100121112110331 - 2¹⁸ = 100121111848187 is a prime.

It is a super-2 number, since 2×100121112110331² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100121112110339) 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, 58143265 + ... + 59840466.

It is an arithmetic number, because the mean of its divisors is an integer number (6490226105454).

Almost surely, 2^{100121112110331} is an apocalyptic number.

100121112110331 is a deficient number, since it is larger than the sum of its proper divisors (55644314420565).

100121112110331 is a wasteful number, since it uses less digits than its factorization.

100121112110331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117991003 (or 117991000 counting only the distinct ones).

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

Adding to 100121112110331 its reverse (133011211121001), we get a palindrome (233132323231332).

The spelling of 100121112110331 in words is "one hundred trillion, one hundred twenty-one billion, one hundred twelve million, one hundred ten thousand, three hundred thirty-one".