100123130111121 has 24 divisors (see below), whose sum is σ = 156147469481640. Its totient is φ = 61455842539776.

The previous prime is 100123130111117. The next prime is 100123130111203. The reversal of 100123130111121 is 121111031321001.

100123130111121 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 231 + 301 + 11 + 121 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 212889960000 + 99910240151121 = 461400^2 + 9995511^2 .

It is not a de Polignac number, because 100123130111121 - 2² = 100123130111117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100123130111094 and 100123130111103.

It is not an unprimeable number, because it can be changed into a prime (100123130112121) 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, 1099894396 + ... + 1099985421.

It is an arithmetic number, because the mean of its divisors is an integer number (6506144561735).

Almost surely, 2^{100123130111121} is an apocalyptic number.

It is an amenable number.

100123130111121 is a deficient number, since it is larger than the sum of its proper divisors (56024339370519).

100123130111121 is a wasteful number, since it uses less digits than its factorization.

100123130111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199880225 (or 2199880222 counting only the distinct ones).

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

Adding to 100123130111121 its reverse (121111031321001), we get a palindrome (221234161432122).

The spelling of 100123130111121 in words is "one hundred trillion, one hundred twenty-three billion, one hundred thirty million, one hundred eleven thousand, one hundred twenty-one".