122221101200101 has 8 divisors (see below), whose sum is σ = 123004626232064. Its totient is φ = 121437640050480.

The previous prime is 122221101200069. The next prime is 122221101200113. The reversal of 122221101200101 is 101002101122221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122221101200101 - 2⁵ = 122221101200069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122221141200101) 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 7 ways as a sum of consecutive naturals, for example, 12128925 + ... + 19787698.

It is an arithmetic number, because the mean of its divisors is an integer number (15375578279008).

Almost surely, 2^{122221101200101} is an apocalyptic number.

It is an amenable number.

122221101200101 is a deficient number, since it is larger than the sum of its proper divisors (783525031963).

122221101200101 is a wasteful number, since it uses less digits than its factorization.

122221101200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31941171.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122221101200101 its reverse (101002101122221), we get a palindrome (223223202322322).

The spelling of 122221101200101 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, one hundred one million, two hundred thousand, one hundred one".