102044321100 has 144 divisors (see below), whose sum is σ = 328292876800. Its totient is φ = 27191972160.

The previous prime is 102044321063. The next prime is 102044321161. The reversal of 102044321100 is 1123440201.

102044321100 is a `hidden beast` number, since 10 + 2 + 0 + 443 + 211 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3893841 + ... + 3919959.

Almost surely, 2^102044321100 is an apocalyptic number.

102044321100 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 102044321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164146438400).

102044321100 is an abundant number, since it is smaller than the sum of its proper divisors (226248555700).

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

102044321100 is a wasteful number, since it uses less digits than its factorization.

102044321100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27589 (or 27576 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102044321100 its reverse (1123440201), we get a palindrome (103167761301).

The spelling of 102044321100 in words is "one hundred two billion, forty-four million, three hundred twenty-one thousand, one hundred".