1223301201001 has 6 divisors (see below), whose sum is σ = 1344620328506. Its totient is φ = 1112092000800.

The previous prime is 1223301200981. The next prime is 1223301201011. The reversal of 1223301201001 is 1001021033221.

It can be written as a sum of positive squares in only one way, i.e., 1221157603600 + 2143597401 = 1105060^2 + 46299^2 .

It is not a de Polignac number, because 1223301201001 - 2¹⁷ = 1223301069929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1223301201011) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 5054963520 + ... + 5054963761.

Almost surely, 2^{1223301201001} is an apocalyptic number.

1223301201001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1223301201001 is a deficient number, since it is larger than the sum of its proper divisors (121319127505).

1223301201001 is a wasteful number, since it uses less digits than its factorization.

1223301201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10109927303 (or 10109927292 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1223301201001 its reverse (1001021033221), we get a palindrome (2224322234222).

The spelling of 1223301201001 in words is "one trillion, two hundred twenty-three billion, three hundred one million, two hundred one thousand, one".