201122102000001 has 128 divisors (see below), whose sum is σ = 350655820333056. Its totient is φ = 99505017077760.

The previous prime is 201122101999997. The next prime is 201122102000051. The reversal of 201122102000001 is 100000201221102.

It is not a de Polignac number, because 201122102000001 - 2² = 201122101999997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201122102000051) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2505436201 + ... + 2505516473.

It is an arithmetic number, because the mean of its divisors is an integer number (2739498596352).

Almost surely, 2^{201122102000001} is an apocalyptic number.

201122102000001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201122102000001 is a deficient number, since it is larger than the sum of its proper divisors (149533718333055).

201122102000001 is a wasteful number, since it uses less digits than its factorization.

201122102000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82151.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201122102000001 its reverse (100000201221102), we get a palindrome (301122303221103).

The spelling of 201122102000001 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred two million, one", and thus it is an aban number.