102101110321 has 24 divisors (see below), whose sum is σ = 119660475744. Its totient is φ = 86861698560.

The previous prime is 102101110277. The next prime is 102101110351. The reversal of 102101110321 is 123011101201.

It is a happy number.

It is not a de Polignac number, because 102101110321 - 2⁷ = 102101110193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102101110351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4177266 + ... + 4201636.

It is an arithmetic number, because the mean of its divisors is an integer number (4985853156).

Almost surely, 2^102101110321 is an apocalyptic number.

It is an amenable number.

102101110321 is a deficient number, since it is larger than the sum of its proper divisors (17559365423).

102101110321 is a wasteful number, since it uses less digits than its factorization.

102101110321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25021 (or 25014 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 102101110321 its reverse (123011101201), we get a palindrome (225112211522).

The spelling of 102101110321 in words is "one hundred two billion, one hundred one million, one hundred ten thousand, three hundred twenty-one".