102102110101200 has 480 divisors, whose sum is σ = 361907731958400. Its totient is φ = 24399866880000.

The previous prime is 102102110101097. The next prime is 102102110101217. The reversal of 102102110101200 is 2101011201201.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 305135586 + ... + 305470014.

It is an arithmetic number, because the mean of its divisors is an integer number (753974441580).

Almost surely, 2^{102102110101200} is an apocalyptic number.

102102110101200 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 102102110101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180953865979200).

102102110101200 is an abundant number, since it is smaller than the sum of its proper divisors (259805621857200).

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

102102110101200 is a wasteful number, since it uses less digits than its factorization.

102102110101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334791 (or 334780 counting only the distinct ones).

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

Adding to 102102110101200 its reverse (2101011201201), we get a palindrome (104203121302401).

The spelling of 102102110101200 in words is "one hundred two trillion, one hundred two billion, one hundred ten million, one hundred one thousand, two hundred".