102002131004321 has 8 divisors (see below), whose sum is σ = 102022172910504. Its totient is φ = 101982089975040.

The previous prime is 102002131004309. The next prime is 102002131004359. The reversal of 102002131004321 is 123400131200201.

It can be written as a sum of positive squares in 4 ways, for example, as 43046392950625 + 58955738053696 = 6560975^2 + 7678264^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102002131004321 is a prime.

It is a super-2 number, since 2×102002131004321² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102002131004293 and 102002131004302.

It is not an unprimeable number, because it can be changed into a prime (102002131004821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 263107595 + ... + 263494991.

It is an arithmetic number, because the mean of its divisors is an integer number (12752771613813).

Almost surely, 2^{102002131004321} is an apocalyptic number.

It is an amenable number.

102002131004321 is a deficient number, since it is larger than the sum of its proper divisors (20041906183).

102002131004321 is an equidigital number, since it uses as much as digits as its factorization.

102002131004321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438451.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 102002131004321 its reverse (123400131200201), we get a palindrome (225402262204522).

The spelling of 102002131004321 in words is "one hundred two trillion, two billion, one hundred thirty-one million, four thousand, three hundred twenty-one".