122201112002101 has 16 divisors (see below), whose sum is σ = 133500684522240. Its totient is φ = 110933336128320.

The previous prime is 122201112002009. The next prime is 122201112002111. The reversal of 122201112002101 is 101200211102221.

It is a cyclic number.

It is not a de Polignac number, because 122201112002101 - 2⁹ = 122201112001589 is a prime.

It is a super-2 number, since 2×122201112002101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122201112002111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35110371 + ... + 38433583.

It is an arithmetic number, because the mean of its divisors is an integer number (8343792782640).

Almost surely, 2^{122201112002101} is an apocalyptic number.

122201112002101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122201112002101 is a deficient number, since it is larger than the sum of its proper divisors (11299572520139).

122201112002101 is a wasteful number, since it uses less digits than its factorization.

122201112002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3327996.

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

Adding to 122201112002101 its reverse (101200211102221), we get a palindrome (223401323104322).

The spelling of 122201112002101 in words is "one hundred twenty-two trillion, two hundred one billion, one hundred twelve million, two thousand, one hundred one".