100011100122123 has 8 divisors (see below), whose sum is σ = 133488058089168. Its totient is φ = 66604104451584.

The previous prime is 100011100122079. The next prime is 100011100122151. The reversal of 100011100122123 is 321221001110001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100011100122123 - 2²⁵ = 100011066567691 is a prime.

It is a super-2 number, since 2×100011100122123² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100011100122023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17490570790 + ... + 17490576507.

It is an arithmetic number, because the mean of its divisors is an integer number (16686007261146).

Almost surely, 2^{100011100122123} is an apocalyptic number.

100011100122123 is a deficient number, since it is larger than the sum of its proper divisors (33476957967045).

100011100122123 is an equidigital number, since it uses as much as digits as its factorization.

100011100122123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34981148253.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 100011100122123 its reverse (321221001110001), we get a palindrome (421232101232124).

The spelling of 100011100122123 in words is "one hundred trillion, eleven billion, one hundred million, one hundred twenty-two thousand, one hundred twenty-three".