101000221312 has 64 divisors (see below), whose sum is σ = 206219379240. Its totient is φ = 49244405760.

The previous prime is 101000221297. The next prime is 101000221321. The reversal of 101000221312 is 213122000101.

It can be written as a sum of positive squares in 4 ways, for example, as 72541880896 + 28458340416 = 269336^2 + 168696^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 101000221292 and 101000221301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15935008 + ... + 15941344.

Almost surely, 2^101000221312 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 101000221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103109689620).

101000221312 is an abundant number, since it is smaller than the sum of its proper divisors (105219157928).

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

101000221312 is an equidigital number, since it uses as much as digits as its factorization.

101000221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9429 (or 9417 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 101000221312 its reverse (213122000101), we get a palindrome (314122221413).

The spelling of 101000221312 in words is "one hundred one billion, two hundred twenty-one thousand, three hundred twelve".