102001100211200 has 66 divisors (see below), whose sum is σ = 252839211629946. Its totient is φ = 40800440074240.

The previous prime is 102001100211191. The next prime is 102001100211203. The reversal of 102001100211200 is 2112001100201.

It can be written as a sum of positive squares in 3 ways, for example, as 966115999744 + 101034984211456 = 982912^2 + 10051616^2 .

It is not an unprimeable number, because it can be changed into a prime (102001100211203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1992183389 + ... + 1992234588.

Almost surely, 2^{102001100211200} is an apocalyptic number.

102001100211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001100211200 is an abundant number, since it is smaller than the sum of its proper divisors (150838111418746).

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

102001100211200 is an equidigital number, since it uses as much as digits as its factorization.

102001100211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3984418007 (or 3984417984 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102001100211200 its reverse (2112001100201), we get a palindrome (104113101311401).

The spelling of 102001100211200 in words is "one hundred two trillion, one billion, one hundred million, two hundred eleven thousand, two hundred".