122331001001 has 16 divisors (see below), whose sum is σ = 135478785600. Its totient is φ = 109525489920.

The previous prime is 122331000989. The next prime is 122331001007. The reversal of 122331001001 is 100100133221.

It is not a de Polignac number, because 122331001001 - 2¹⁸ = 122330738857 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122331001007) 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 15 ways as a sum of consecutive naturals, for example, 436925 + ... + 659973.

It is an arithmetic number, because the mean of its divisors is an integer number (8467424100).

Almost surely, 2^122331001001 is an apocalyptic number.

122331001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122331001001 is a deficient number, since it is larger than the sum of its proper divisors (13147784599).

122331001001 is a wasteful number, since it uses less digits than its factorization.

122331001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223816.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 122331001001 its reverse (100100133221), we get a palindrome (222431134222).

The spelling of 122331001001 in words is "one hundred twenty-two billion, three hundred thirty-one million, one thousand, one".