123201102321 has 48 divisors (see below), whose sum is σ = 196248099840. Its totient is φ = 73856331360.

The previous prime is 123201102313. The next prime is 123201102331.

123201102321 is a `hidden beast` number, since 1 + 2 + 320 + 110 + 232 + 1 = 666.

123201102321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 123201102321 - 2³ = 123201102313 is a prime.

It is a super-2 number, since 2×123201102321² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123201102294 and 123201102303.

It is not an unprimeable number, because it can be changed into a prime (123201102331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9364470 + ... + 9377616.

It is an arithmetic number, because the mean of its divisors is an integer number (4088502080).

Almost surely, 2^123201102321 is an apocalyptic number.

123201102321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123201102321 is a deficient number, since it is larger than the sum of its proper divisors (73046997519).

123201102321 is a wasteful number, since it uses less digits than its factorization.

123201102321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14186 (or 14183 counting only the distinct ones).

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

It can be divided in two parts, 123201 and 102321, that added together give a palindrome (225522).

The spelling of 123201102321 in words is "one hundred twenty-three billion, two hundred one million, one hundred two thousand, three hundred twenty-one".