102200102010200 has 96 divisors (see below), whose sum is σ = 248640249279360. Its totient is φ = 39019393612800.

The previous prime is 102200102010199. The next prime is 102200102010217. The reversal of 102200102010200 is 2010201002201.

It is a happy number.

It is a super-3 number, since 3×102200102010200³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112450739 + ... + 113355938.

It is an arithmetic number, because the mean of its divisors is an integer number (2590002596660).

Almost surely, 2^{102200102010200} is an apocalyptic number.

102200102010200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102200102010200 is an abundant number, since it is smaller than the sum of its proper divisors (146440147269160).

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

102200102010200 is a wasteful number, since it uses less digits than its factorization.

102200102010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225806797 (or 225806788 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102200102010200 its reverse (2010201002201), we get a palindrome (104210303012401).

The spelling of 102200102010200 in words is "one hundred two trillion, two hundred billion, one hundred two million, ten thousand, two hundred".