103212314001 has 12 divisors (see below), whose sum is σ = 149160971700. Its totient is φ = 68772893280.

The previous prime is 103212313943. The next prime is 103212314021. The reversal of 103212314001 is 100413212301.

103212314001 is a `hidden beast` number, since 1 + 0 + 32 + 1 + 231 + 400 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 60744996225 + 42467317776 = 246465^2 + 206076^2 .

It is not a de Polignac number, because 103212314001 - 2⁹ = 103212313489 is a prime.

It is a super-2 number, since 2×103212314001² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103212314021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2924490 + ... + 2959571.

It is an arithmetic number, because the mean of its divisors is an integer number (12430080975).

Almost surely, 2^103212314001 is an apocalyptic number.

It is an amenable number.

103212314001 is a deficient number, since it is larger than the sum of its proper divisors (45948657699).

103212314001 is a wasteful number, since it uses less digits than its factorization.

103212314001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5886016 (or 5886013 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103212314001 its reverse (100413212301), we get a palindrome (203625526302).

The spelling of 103212314001 in words is "one hundred three billion, two hundred twelve million, three hundred fourteen thousand, one".