102112110001200 has 240 divisors, whose sum is σ = 353241843575040. Its totient is φ = 25065272509440.

The previous prime is 102112110001189. The next prime is 102112110001229. The reversal of 102112110001200 is 2100011211201.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 3516102 + ... + 14716901.

It is an arithmetic number, because the mean of its divisors is an integer number (1471841014896).

Almost surely, 2^{102112110001200} is an apocalyptic number.

102112110001200 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 102112110001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176620921787520).

102112110001200 is an abundant number, since it is smaller than the sum of its proper divisors (251129733573840).

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

102112110001200 is a wasteful number, since it uses less digits than its factorization.

102112110001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18233396 (or 18233385 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102112110001200 its reverse (2100011211201), we get a palindrome (104212121212401).

The spelling of 102112110001200 in words is "one hundred two trillion, one hundred twelve billion, one hundred ten million, one thousand, two hundred".