122221100001 has 128 divisors (see below), whose sum is σ = 226960699392. Its totient is φ = 56453760000.

The previous prime is 122221099969. The next prime is 122221100017. The reversal of 122221100001 is 100001122221.

It is not a de Polignac number, because 122221100001 - 2⁵ = 122221099969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122221100001.

It is not an unprimeable number, because it can be changed into a prime (122221101001) 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 127 ways as a sum of consecutive naturals, for example, 11216766 + ... + 11227656.

It is an arithmetic number, because the mean of its divisors is an integer number (1773130464).

Almost surely, 2^122221100001 is an apocalyptic number.

122221100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122221100001 is a deficient number, since it is larger than the sum of its proper divisors (104739599391).

122221100001 is a wasteful number, since it uses less digits than its factorization.

122221100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11063.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122221100001 its reverse (100001122221), we get a palindrome (222222222222).

It can be divided in two parts, 122221 and 100001, that multiplied together give a palindrome (12222222221).

The spelling of 122221100001 in words is "one hundred twenty-two billion, two hundred twenty-one million, one hundred thousand, one".