102200203000 has 128 divisors (see below), whose sum is σ = 273498825600. Its totient is φ = 35016192000.

The previous prime is 102200202997. The next prime is 102200203003. The reversal of 102200203000 is 302002201.

It is an interprime number because it is at equal distance from previous prime (102200202997) and next prime (102200203003).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200203003) by changing a digit.

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, 12518920 + ... + 12527080.

It is an arithmetic number, because the mean of its divisors is an integer number (2136709575).

Almost surely, 2^102200203000 is an apocalyptic number.

102200203000 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 102200203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136749412800).

102200203000 is an abundant number, since it is smaller than the sum of its proper divisors (171298622600).

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

102200203000 is a wasteful number, since it uses less digits than its factorization.

102200203000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9978 (or 9964 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 102200203000 its reverse (302002201), we get a palindrome (102502205201).

The spelling of 102200203000 in words is "one hundred two billion, two hundred million, two hundred three thousand".