102110313132321 has 32 divisors (see below), whose sum is σ = 148840640148480. Its totient is φ = 61885793496384.

The previous prime is 102110313132307. The next prime is 102110313132349. The reversal of 102110313132321 is 123231313011201.

It is not a de Polignac number, because 102110313132321 - 2¹⁹ = 102110312608033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102110313132291 and 102110313132300.

It is not an unprimeable number, because it can be changed into a prime (102110313132391) 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 31 ways as a sum of consecutive naturals, for example, 7782820 + ... + 16272458.

It is an arithmetic number, because the mean of its divisors is an integer number (4651270004640).

Almost surely, 2^{102110313132321} is an apocalyptic number.

It is an amenable number.

102110313132321 is a deficient number, since it is larger than the sum of its proper divisors (46730327016159).

102110313132321 is a wasteful number, since it uses less digits than its factorization.

102110313132321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8494325.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 102110313132321 its reverse (123231313011201), we get a palindrome (225341626143522).

The spelling of 102110313132321 in words is "one hundred two trillion, one hundred ten billion, three hundred thirteen million, one hundred thirty-two thousand, three hundred twenty-one".