102002101200 has 300 divisors, whose sum is σ = 387613411020. Its totient is φ = 25600389120.

The previous prime is 102002101189. The next prime is 102002101213. The reversal of 102002101200 is 2101200201.

It can be written as a sum of positive squares in 6 ways, for example, as 12591532944 + 89410568256 = 112212^2 + 299016^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 458206 + ... + 643394.

Almost surely, 2^102002101200 is an apocalyptic number.

102002101200 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 102002101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193806705510).

102002101200 is an abundant number, since it is smaller than the sum of its proper divisors (285611309820).

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

102002101200 is a wasteful number, since it uses less digits than its factorization.

102002101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185236 (or 185216 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102002101200 its reverse (2101200201), we get a palindrome (104103301401).

Subtracting from 102002101200 its reverse (2101200201), we obtain a palindrome (99900900999).

The spelling of 102002101200 in words is "one hundred two billion, two million, one hundred one thousand, two hundred".