102111012200200 has 96 divisors (see below), whose sum is σ = 237717726107400. Its totient is φ = 40791149199360.

The previous prime is 102111012200189. The next prime is 102111012200207. The reversal of 102111012200200 is 2002210111201.

It can be written as a sum of positive squares in 12 ways, for example, as 1237794203844 + 100873217996356 = 1112562^2 + 10043566^2 .

It is not an unprimeable number, because it can be changed into a prime (102111012200207) 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 23 ways as a sum of consecutive naturals, for example, 1452282646 + ... + 1452352954.

Almost surely, 2^{102111012200200} is an apocalyptic number.

102111012200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102111012200200 is an abundant number, since it is smaller than the sum of its proper divisors (135606713907200).

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

102111012200200 is a wasteful number, since it uses less digits than its factorization.

102111012200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79691 (or 79682 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102111012200200 its reverse (2002210111201), we get a palindrome (104113222311401).

The spelling of 102111012200200 in words is "one hundred two trillion, one hundred eleven billion, twelve million, two hundred thousand, two hundred".