122011122102001 has 16 divisors (see below), whose sum is σ = 136624515489216. Its totient is φ = 108020647800000.

The previous prime is 122011122101987. The next prime is 122011122102041. The reversal of 122011122102001 is 100201221110221.

It is a cyclic number.

It is not a de Polignac number, because 122011122102001 - 2⁵ = 122011122101969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122011122102041) 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, 900104295 + ... + 900239836.

It is an arithmetic number, because the mean of its divisors is an integer number (8539032218076).

Almost surely, 2^{122011122102001} is an apocalyptic number.

122011122102001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122011122102001 is a deficient number, since it is larger than the sum of its proper divisors (14613393387215).

122011122102001 is a wasteful number, since it uses less digits than its factorization.

122011122102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800344304.

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

Adding to 122011122102001 its reverse (100201221110221), we get a palindrome (222212343212222).

The spelling of 122011122102001 in words is "one hundred twenty-two trillion, eleven billion, one hundred twenty-two million, one hundred two thousand, one".