102000010200 has 192 divisors, whose sum is σ = 365236801920. Its totient is φ = 23272704000.

The previous prime is 102000010187. The next prime is 102000010243. The reversal of 102000010200 is 2010000201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 342346 + ... + 566745.

It is an arithmetic number, because the mean of its divisors is an integer number (1902275010).

Almost surely, 2^102000010200 is an apocalyptic number.

102000010200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102000010200 is an abundant number, since it is smaller than the sum of its proper divisors (263236791720).

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

102000010200 is a wasteful number, since it uses less digits than its factorization.

102000010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909138 (or 909129 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 102000010200 its reverse (2010000201), we get a palindrome (104010010401).

Subtracting from 102000010200 its reverse (2010000201), we obtain a palindrome (99990009999).

It can be divided in two parts, 1020000 and 10200, that multiplied together give a square (10404000000 = 102000²).

The spelling of 102000010200 in words is "one hundred two billion, ten thousand, two hundred".