321102141201123 has 64 divisors (see below), whose sum is σ = 460169950003200. Its totient is φ = 198781491242880.

The previous prime is 321102141201119. The next prime is 321102141201211.

321102141201123 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 321102141201123 - 2² = 321102141201119 is a prime.

It is a super-2 number, since 2×321102141201123² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321102141201093 and 321102141201102.

It is not an unprimeable number, because it can be changed into a prime (321102141200123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 233912688 + ... + 235281426.

It is an arithmetic number, because the mean of its divisors is an integer number (7190155468800).

Almost surely, 2^{321102141201123} is an apocalyptic number.

321102141201123 is a deficient number, since it is larger than the sum of its proper divisors (139067808802077).

321102141201123 is a wasteful number, since it uses less digits than its factorization.

321102141201123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369752.

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 321102141201123 in words is "three hundred twenty-one trillion, one hundred two billion, one hundred forty-one million, two hundred one thousand, one hundred twenty-three".