102001123312123 has 16 divisors (see below), whose sum is σ = 116905253250240. Its totient is φ = 87180255017856.

The previous prime is 102001123312117. The next prime is 102001123312163. The reversal of 102001123312123 is 321213321100201.

It is not a de Polignac number, because 102001123312123 - 2²⁹ = 102000586441211 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102001123312094 and 102001123312103.

It is not an unprimeable number, because it can be changed into a prime (102001123312163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4420165 + ... + 14951257.

It is an arithmetic number, because the mean of its divisors is an integer number (7306578328140).

Almost surely, 2^{102001123312123} is an apocalyptic number.

102001123312123 is a deficient number, since it is larger than the sum of its proper divisors (14904129938117).

102001123312123 is a wasteful number, since it uses less digits than its factorization.

102001123312123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10535046.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 102001123312123 its reverse (321213321100201), we get a palindrome (423214444412324).

The spelling of 102001123312123 in words is "one hundred two trillion, one billion, one hundred twenty-three million, three hundred twelve thousand, one hundred twenty-three".