102441200100 has 144 divisors (see below), whose sum is σ = 298791292800. Its totient is φ = 27097804800.

The previous prime is 102441200039. The next prime is 102441200119. The reversal of 102441200100 is 1002144201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102441200100.

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, 21071670 + ... + 21076530.

Almost surely, 2^102441200100 is an apocalyptic number.

102441200100 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 102441200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149395646400).

102441200100 is an abundant number, since it is smaller than the sum of its proper divisors (196350092700).

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

102441200100 is a wasteful number, since it uses less digits than its factorization.

102441200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5430 (or 5423 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102441200100 its reverse (1002144201), we get a palindrome (103443344301).

The spelling of 102441200100 in words is "one hundred two billion, four hundred forty-one million, two hundred thousand, one hundred".