102113020002321 has 24 divisors (see below), whose sum is σ = 148851860277120. Its totient is φ = 67449852338400.

The previous prime is 102113020002263. The next prime is 102113020002349. The reversal of 102113020002321 is 123200020311201.

102113020002321 is a `hidden beast` number, since 10 + 2 + 1 + 130 + 200 + 0 + 2 + 321 = 666.

It is not a de Polignac number, because 102113020002321 - 2⁷ = 102113020002193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102113020002294 and 102113020002303.

It is not an unprimeable number, because it can be changed into a prime (102113020002221) 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 23 ways as a sum of consecutive naturals, for example, 72713706 + ... + 74104716.

It is an arithmetic number, because the mean of its divisors is an integer number (6202160844880).

Almost surely, 2^{102113020002321} is an apocalyptic number.

It is an amenable number.

102113020002321 is a deficient number, since it is larger than the sum of its proper divisors (46738840274799).

102113020002321 is a wasteful number, since it uses less digits than its factorization.

102113020002321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465957 (or 1465954 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102113020002321 its reverse (123200020311201), we get a palindrome (225313040313522).

The spelling of 102113020002321 in words is "one hundred two trillion, one hundred thirteen billion, twenty million, two thousand, three hundred twenty-one".