102132101110 has 64 divisors (see below), whose sum is σ = 204949180800. Its totient is φ = 36384509952.

The previous prime is 102132101089. The next prime is 102132101143. The reversal of 102132101110 is 11101231201.

It is a happy number.

102132101110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

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, 5868742 + ... + 5886118.

It is an arithmetic number, because the mean of its divisors is an integer number (3202330950).

Almost surely, 2^102132101110 is an apocalyptic number.

102132101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102132101110 is an abundant number, since it is smaller than the sum of its proper divisors (102817079690).

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

102132101110 is a wasteful number, since it uses less digits than its factorization.

102132101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18985.

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

Adding to 102132101110 its reverse (11101231201), we get a palindrome (113233332311).

The spelling of 102132101110 in words is "one hundred two billion, one hundred thirty-two million, one hundred one thousand, one hundred ten".