1001123203201 has 24 divisors (see below), whose sum is σ = 1106830775232. Its totient is φ = 904803213600.

The previous prime is 1001123203189. The next prime is 1001123203273. The reversal of 1001123203201 is 1023023211001.

It is not a de Polignac number, because 1001123203201 - 2⁵ = 1001123203169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001123203501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108777666 + ... + 108786868.

It is an arithmetic number, because the mean of its divisors is an integer number (46117948968).

Almost surely, 2^{1001123203201} is an apocalyptic number.

1001123203201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001123203201 is a deficient number, since it is larger than the sum of its proper divisors (105707572031).

1001123203201 is a wasteful number, since it uses less digits than its factorization.

1001123203201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14373 (or 14362 counting only the distinct ones).

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

Adding to 1001123203201 its reverse (1023023211001), we get a palindrome (2024146414202).

The spelling of 1001123203201 in words is "one trillion, one billion, one hundred twenty-three million, two hundred three thousand, two hundred one".