102102211100 has 72 divisors (see below), whose sum is σ = 229347977040. Its totient is φ = 39407441920.

The previous prime is 102102211093. The next prime is 102102211181. The reversal of 102102211100 is 1112201201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4910927 + ... + 4931673.

It is an arithmetic number, because the mean of its divisors is an integer number (3185388570).

Almost surely, 2^102102211100 is an apocalyptic number.

102102211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102102211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114673988520).

102102211100 is an abundant number, since it is smaller than the sum of its proper divisors (127245765940).

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

102102211100 is a wasteful number, since it uses less digits than its factorization.

102102211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22487 (or 22480 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102102211100 its reverse (1112201201), we get a palindrome (103214412301).

The spelling of 102102211100 in words is "one hundred two billion, one hundred two million, two hundred eleven thousand, one hundred".