201122111202100 has 72 divisors (see below), whose sum is σ = 477880818357600. Its totient is φ = 72863434569600.

The previous prime is 201122111202091. The next prime is 201122111202163. The reversal of 201122111202100 is 1202111221102.

201122111202100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201122111202100² (a number of 29 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 339552210 + ... + 340144009.

It is an arithmetic number, because the mean of its divisors is an integer number (6637233588300).

Almost surely, 2^{201122111202100} is an apocalyptic number.

201122111202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201122111202100 is an abundant number, since it is smaller than the sum of its proper divisors (276758707155500).

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

201122111202100 is a wasteful number, since it uses less digits than its factorization.

201122111202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679696513 (or 679696506 counting only the distinct ones).

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

Adding to 201122111202100 its reverse (1202111221102), we get a palindrome (202324222423202).

The spelling of 201122111202100 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred eleven million, two hundred two thousand, one hundred".