103322102112000 has 864 divisors, whose sum is σ = 380914106629056. Its totient is φ = 26877505536000.

The previous prime is 103322102111999. The next prime is 103322102112071. The reversal of 103322102112000 is 211201223301.

103322102112000 is a `hidden beast` number, since 1 + 0 + 33 + 221 + 0 + 211 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 10563547110 + ... + 10563556890.

Almost surely, 2^{103322102112000} is an apocalyptic number.

103322102112000 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 103322102112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190457053314528).

103322102112000 is an abundant number, since it is smaller than the sum of its proper divisors (277592004517056).

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

103322102112000 is an equidigital number, since it uses as much as digits as its factorization.

103322102112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10714 (or 10687 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103322102112000 its reverse (211201223301), we get a palindrome (103533303335301).

The spelling of 103322102112000 in words is "one hundred three trillion, three hundred twenty-two billion, one hundred two million, one hundred twelve thousand".