102200120000 has 280 divisors, whose sum is σ = 277660120320. Its totient is φ = 37002880000.

The previous prime is 102200119999. The next prime is 102200120021. The reversal of 102200120000 is 21002201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 102200120000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 157959677 + ... + 157960323.

Almost surely, 2^102200120000 is an apocalyptic number.

102200120000 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 102200120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138830060160).

102200120000 is an abundant number, since it is smaller than the sum of its proper divisors (175460000320).

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

102200120000 is an equidigital number, since it uses as much as digits as its factorization.

102200120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1024 counting only the distinct ones).

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

Adding to 102200120000 its reverse (21002201), we get a palindrome (102221122201).

The spelling of 102200120000 in words is "one hundred two billion, two hundred million, one hundred twenty thousand".