102002200200 has 72 divisors (see below), whose sum is σ = 342557395050. Its totient is φ = 27200586240.

The previous prime is 102002200171. The next prime is 102002200229. The reversal of 102002200200 is 2002200201.

It is an interprime number because it is at equal distance from previous prime (102002200171) and next prime (102002200229).

It can be written as a sum of positive squares in 3 ways, for example, as 64380942756 + 37621257444 = 253734^2 + 193962^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28332145 + ... + 28335744.

Almost surely, 2^102002200200 is an apocalyptic number.

102002200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002200200 is an abundant number, since it is smaller than the sum of its proper divisors (240555194850).

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

102002200200 is a wasteful number, since it uses less digits than its factorization.

102002200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56667911 (or 56667899 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 102002200200 its reverse (2002200201), we get a palindrome (104004400401).

Subtracting from 102002200200 its reverse (2002200201), we obtain a palindrome (99999999999).

The spelling of 102002200200 in words is "one hundred two billion, two million, two hundred thousand, two hundred".