10123300232001 has 36 divisors (see below), whose sum is σ = 16507112264916. Its totient is φ = 5969513626560.

The previous prime is 10123300231943. The next prime is 10123300232047. The reversal of 10123300232001 is 10023200332101.

10123300232001 is a `hidden beast` number, since 1 + 0 + 12 + 330 + 0 + 2 + 320 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9037244452401 + 1086055779600 = 3006201^2 + 1042140^2 .

It is not a de Polignac number, because 10123300232001 - 2⁶ = 10123300231937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10123300252001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 125580786 + ... + 125661371.

Almost surely, 2^{10123300232001} is an apocalyptic number.

10123300232001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10123300232001 is a deficient number, since it is larger than the sum of its proper divisors (6383812032915).

10123300232001 is a wasteful number, since it uses less digits than its factorization.

10123300232001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251242222 (or 251242208 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10123300232001 its reverse (10023200332101), we get a palindrome (20146500564102).

It can be divided in two parts, 10123300 and 232001, that added together give a palindrome (10355301).

The spelling of 10123300232001 in words is "ten trillion, one hundred twenty-three billion, three hundred million, two hundred thirty-two thousand, one".