102123303321201 has 32 divisors (see below), whose sum is σ = 138019818832896. Its totient is φ = 67162742784000.

The previous prime is 102123303321173. The next prime is 102123303321233.

102123303321201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102123303321201 - 2⁷ = 102123303321073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102123303321301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32113536 + ... + 35150046.

It is an arithmetic number, because the mean of its divisors is an integer number (4313119338528).

Almost surely, 2^{102123303321201} is an apocalyptic number.

It is an amenable number.

102123303321201 is a deficient number, since it is larger than the sum of its proper divisors (35896515511695).

102123303321201 is a wasteful number, since it uses less digits than its factorization.

102123303321201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3037193.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 10212330 and 3321201, that added together give a palindrome (13533531).

The spelling of 102123303321201 in words is "one hundred two trillion, one hundred twenty-three billion, three hundred three million, three hundred twenty-one thousand, two hundred one".