201122102110100 has 36 divisors (see below), whose sum is σ = 437471624287068. Its totient is φ = 80257750944000.

The previous prime is 201122102110043. The next prime is 201122102110177. The reversal of 201122102110100 is 1011201221102.

It can be written as a sum of positive squares in 6 ways, for example, as 2616150972304 + 198505951137796 = 1617452^2 + 14089214^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2388581441 + ... + 2388665640.

Almost surely, 2^{201122102110100} is an apocalyptic number.

201122102110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201122102110100 is an abundant number, since it is smaller than the sum of its proper divisors (236349522176968).

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

201122102110100 is a wasteful number, since it uses less digits than its factorization.

201122102110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4777247516 (or 4777247509 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201122102110100 its reverse (1011201221102), we get a palindrome (202133303331202).

The spelling of 201122102110100 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred two million, one hundred ten thousand, one hundred".