201122101101000 has 128 divisors (see below), whose sum is σ = 627506963740800. Its totient is φ = 53632046764800.

The previous prime is 201122101100989. The next prime is 201122101101001. The reversal of 201122101101000 is 101101221102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (201122101101001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 393623691 + ... + 394134309.

It is an arithmetic number, because the mean of its divisors is an integer number (4902398154225).

Almost surely, 2^{201122101101000} is an apocalyptic number.

201122101101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201122101101000 is an abundant number, since it is smaller than the sum of its proper divisors (426384862639800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201122101101000 is a wasteful number, since it uses less digits than its factorization.

201122101101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641936 (or 641922 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201122101101000 its reverse (101101221102), we get a palindrome (201223202322102).

The spelling of 201122101101000 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred one million, one hundred one thousand".