102012100200 has 144 divisors (see below), whose sum is σ = 344773697580. Its totient is φ = 27029882880.

The previous prime is 102012100063. The next prime is 102012100207. The reversal of 102012100200 is 2001210201.

102012100200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 13735371204 + 88276728996 = 117198^2 + 297114^2 .

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

It is not an unprimeable number, because it can be changed into a prime (102012100207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 102112 + ... + 463088.

Almost surely, 2^102012100200 is an apocalyptic number.

102012100200 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 102012100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172386848790).

102012100200 is an abundant number, since it is smaller than the sum of its proper divisors (242761597380).

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

102012100200 is a wasteful number, since it uses less digits than its factorization.

102012100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361156 (or 361144 counting only the distinct ones).

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

Adding to 102012100200 its reverse (2001210201), we get a palindrome (104013310401).

The spelling of 102012100200 in words is "one hundred two billion, twelve million, one hundred thousand, two hundred".