201100122000100 has 36 divisors (see below), whose sum is σ = 436507251030004. Its totient is φ = 80417931511680.

The previous prime is 201100122000067. The next prime is 201100122000233. The reversal of 201100122000100 is 1000221001102.

It can be written as a sum of positive squares in 6 ways, for example, as 63622574093376 + 137477547906724 = 7976376^2 + 11725082^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 276100587 + ... + 276827986.

Almost surely, 2^{201100122000100} is an apocalyptic number.

201100122000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201100122000100 is an abundant number, since it is smaller than the sum of its proper divisors (235407129029904).

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

201100122000100 is a wasteful number, since it uses less digits than its factorization.

201100122000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552932224 (or 552932217 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 201100122000100 its reverse (1000221001102), we get a palindrome (202100343001202).

The spelling of 201100122000100 in words is "two hundred one trillion, one hundred billion, one hundred twenty-two million, one hundred", and thus it is an aban number.