102101110320 has 80 divisors (see below), whose sum is σ = 345287400192. Its totient is φ = 24751783680.

The previous prime is 102101110277. The next prime is 102101110351. The reversal of 102101110320 is 23011101201.

102101110320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102101110296 and 102101110305.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 19334692 + ... + 19339971.

Almost surely, 2^102101110320 is an apocalyptic number.

102101110320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101110320 is an abundant number, since it is smaller than the sum of its proper divisors (243186289872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102101110320 is a wasteful number, since it uses less digits than its factorization.

102101110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38674690 (or 38674684 counting only the distinct ones).

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

Adding to 102101110320 its reverse (23011101201), we get a palindrome (125112211521).

The spelling of 102101110320 in words is "one hundred two billion, one hundred one million, one hundred ten thousand, three hundred twenty".