122001001001 has 16 divisors (see below), whose sum is σ = 137750034240. Its totient is φ = 107032121280.

The previous prime is 122001000967. The next prime is 122001001033. The reversal of 122001001001 is 100100100221.

It is a cyclic number.

It is not a de Polignac number, because 122001001001 - 2¹⁰ = 122000999977 is a prime.

It is a Duffinian number.

122001001001 is a modest number, since divided by 1001001 gives 122 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 122001001001.

It is not an unprimeable number, because it can be changed into a prime (122001001091) 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 15 ways as a sum of consecutive naturals, for example, 552275 + ... + 740951.

It is an arithmetic number, because the mean of its divisors is an integer number (8609377140).

Almost surely, 2^122001001001 is an apocalyptic number.

122001001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122001001001 is a deficient number, since it is larger than the sum of its proper divisors (15749033239).

122001001001 is a wasteful number, since it uses less digits than its factorization.

122001001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190744.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 122001001001 its reverse (100100100221), we get a palindrome (222101101222).

The spelling of 122001001001 in words is "one hundred twenty-two billion, one million, one thousand, one".