100123303203231 has 16 divisors (see below), whose sum is σ = 166438737792768. Its totient is φ = 52012105560000.

The previous prime is 100123303203199. The next prime is 100123303203257. The reversal of 100123303203231 is 132302303321001.

It is not a de Polignac number, because 100123303203231 - 2⁵ = 100123303203199 is a prime.

It is a super-2 number, since 2×100123303203231² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100123303203731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216717106270 + ... + 216717106731.

It is an arithmetic number, because the mean of its divisors is an integer number (10402421112048).

Almost surely, 2^{100123303203231} is an apocalyptic number.

100123303203231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100123303203231 is a deficient number, since it is larger than the sum of its proper divisors (66315434589537).

100123303203231 is a wasteful number, since it uses less digits than its factorization.

100123303203231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433434213022.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 100123303203231 its reverse (132302303321001), we get a palindrome (232425606524232).

The spelling of 100123303203231 in words is "one hundred trillion, one hundred twenty-three billion, three hundred three million, two hundred three thousand, two hundred thirty-one".