103322211102000 has 960 divisors, whose sum is σ = 395234800496640. Its totient is φ = 24948903168000.

The previous prime is 103322211101969. The next prime is 103322211102007. The reversal of 103322211102000 is 201112223301.

103322211102000 is a `hidden beast` number, since 1 + 0 + 332 + 2 + 21 + 110 + 200 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (103322211102007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79295633349 + ... + 79295634651.

It is an arithmetic number, because the mean of its divisors is an integer number (411702917184).

Almost surely, 2^{103322211102000} is an apocalyptic number.

103322211102000 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 103322211102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197617400248320).

103322211102000 is an abundant number, since it is smaller than the sum of its proper divisors (291912589394640).

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

103322211102000 is a wasteful number, since it uses less digits than its factorization.

103322211102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2619 (or 2600 counting only the distinct ones).

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

Adding to 103322211102000 its reverse (201112223301), we get a palindrome (103523323325301).

The spelling of 103322211102000 in words is "one hundred three trillion, three hundred twenty-two billion, two hundred eleven million, one hundred two thousand".