123312100200201 has 96 divisors (see below), whose sum is σ = 206632572981120. Its totient is φ = 70033401446400.

The previous prime is 123312100200193. The next prime is 123312100200203. The reversal of 123312100200201 is 102002001213321.

123312100200201 is a `hidden beast` number, since 1 + 23 + 31 + 210 + 0 + 200 + 201 = 666.

It is not a de Polignac number, because 123312100200201 - 2³ = 123312100200193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123312100200203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2402360905 + ... + 2402412233.

It is an arithmetic number, because the mean of its divisors is an integer number (2152422635220).

Almost surely, 2^{123312100200201} is an apocalyptic number.

123312100200201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123312100200201 is a deficient number, since it is larger than the sum of its proper divisors (83320472780919).

123312100200201 is a wasteful number, since it uses less digits than its factorization.

123312100200201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57527 (or 57524 counting only the distinct ones).

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

Adding to 123312100200201 its reverse (102002001213321), we get a palindrome (225314101413522).

The spelling of 123312100200201 in words is "one hundred twenty-three trillion, three hundred twelve billion, one hundred million, two hundred thousand, two hundred one".