1322101000001 has 8 divisors (see below), whose sum is σ = 1324696882824. Its totient is φ = 1319505341440.

The previous prime is 1322100999971. The next prime is 1322101000009. The reversal of 1322101000001 is 1000001012231.

It can be written as a sum of positive squares in 4 ways, for example, as 21771297601 + 1300329702400 = 147551^2 + 1140320^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1322101000001 - 2¹⁴ = 1322100983617 is a prime.

It is a super-4 number, since 4×1322101000001⁴ (a number of 50 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1322101000009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16524245 + ... + 16604061.

It is an arithmetic number, because the mean of its divisors is an integer number (165587110353).

Almost surely, 2^{1322101000001} is an apocalyptic number.

It is an amenable number.

1322101000001 is a deficient number, since it is larger than the sum of its proper divisors (2595882823).

1322101000001 is an equidigital number, since it uses as much as digits as its factorization.

1322101000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112131.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 1322101000001 its reverse (1000001012231), we get a palindrome (2322102012232).

The spelling of 1322101000001 in words is "one trillion, three hundred twenty-two billion, one hundred one million, one", and thus it is an aban number.