122201201101101 has 32 divisors (see below), whose sum is σ = 164477675755008. Its totient is φ = 80700907768320.

The previous prime is 122201201101061. The next prime is 122201201101129. The reversal of 122201201101101 is 101101102102221.

It is a happy number.

It is not a de Polignac number, because 122201201101101 - 2¹³ = 122201201092909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122201201001101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97450771 + ... + 98696783.

It is an arithmetic number, because the mean of its divisors is an integer number (5139927367344).

Almost surely, 2^{122201201101101} is an apocalyptic number.

It is an amenable number.

122201201101101 is a deficient number, since it is larger than the sum of its proper divisors (42276474653907).

122201201101101 is a wasteful number, since it uses less digits than its factorization.

122201201101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246981.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 122201201101101 its reverse (101101102102221), we get a palindrome (223302303203322).

The spelling of 122201201101101 in words is "one hundred twenty-two trillion, two hundred one billion, two hundred one million, one hundred one thousand, one hundred one".