103322221021312 has 128 divisors (see below), whose sum is σ = 220650673771440. Its totient is φ = 48022275883008.

The previous prime is 103322221021303. The next prime is 103322221021321. The reversal of 103322221021312 is 213120122223301.

It is an interprime number because it is at equal distance from previous prime (103322221021303) and next prime (103322221021321).

It can be written as a sum of positive squares in 8 ways, for example, as 102542842806336 + 779378214976 = 10126344^2 + 882824^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×103322221021312³ (a number of 43 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 57848398 + ... + 59607730.

Almost surely, 2^{103322221021312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103322221021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110325336885720).

103322221021312 is an abundant number, since it is smaller than the sum of its proper divisors (117328452750128).

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

103322221021312 is a wasteful number, since it uses less digits than its factorization.

103322221021312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759698 (or 1759686 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 103322221021312 its reverse (213120122223301), we get a palindrome (316442343244613).

The spelling of 103322221021312 in words is "one hundred three trillion, three hundred twenty-two billion, two hundred twenty-one million, twenty-one thousand, three hundred twelve".