102123321201 has 48 divisors (see below), whose sum is σ = 164046617280. Its totient is φ = 60692261760.

The previous prime is 102123321169. The next prime is 102123321211.

102123321201 is a `hidden beast` number, since 1 + 0 + 212 + 332 + 120 + 1 = 666.

102123321201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102123321201 - 2⁵ = 102123321169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102123321211) 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, 12531010 + ... + 12539156.

It is an arithmetic number, because the mean of its divisors is an integer number (3417637860).

Almost surely, 2^102123321201 is an apocalyptic number.

102123321201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102123321201 is a deficient number, since it is larger than the sum of its proper divisors (61923296079).

102123321201 is a wasteful number, since it uses less digits than its factorization.

102123321201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10606 (or 10603 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, 102123 and 321201, that added together give a palindrome (423324).

The spelling of 102123321201 in words is "one hundred two billion, one hundred twenty-three million, three hundred twenty-one thousand, two hundred one".