201122111012100 has 144 divisors (see below), whose sum is σ = 582535451344896. Its totient is φ = 53575241360000.

The previous prime is 201122111012093. The next prime is 201122111012111. The reversal of 201122111012100 is 1210111221102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201122111012100.

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 47 ways as a sum of consecutive naturals, for example, 1806208627 + ... + 1806319973.

It is an arithmetic number, because the mean of its divisors is an integer number (4045385078784).

Almost surely, 2^{201122111012100} is an apocalyptic number.

201122111012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201122111012100 is an abundant number, since it is smaller than the sum of its proper divisors (381413340332796).

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

201122111012100 is a wasteful number, since it uses less digits than its factorization.

201122111012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117746 (or 117739 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 201122111012100 its reverse (1210111221102), we get a palindrome (202332222233202).

The spelling of 201122111012100 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred eleven million, twelve thousand, one hundred".