122101102001103 has 16 divisors (see below), whose sum is σ = 163712600609376. Its totient is φ = 80945233182720.

The previous prime is 122101102001101. The next prime is 122101102001111. The reversal of 122101102001103 is 301100201101221.

It is not a de Polignac number, because 122101102001103 - 2¹ = 122101102001101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101102001101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 392050 + ... + 15631887.

It is an arithmetic number, because the mean of its divisors is an integer number (10232037538086).

Almost surely, 2^{122101102001103} is an apocalyptic number.

122101102001103 is a deficient number, since it is larger than the sum of its proper divisors (41611498608273).

122101102001103 is a wasteful number, since it uses less digits than its factorization.

122101102001103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16038154.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 122101102001103 its reverse (301100201101221), we get a palindrome (423201303102324).

The spelling of 122101102001103 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred two million, one thousand, one hundred three".