201122001120100 has 18 divisors (see below), whose sum is σ = 436434742430834. Its totient is φ = 80448800448000.

The previous prime is 201122001120041. The next prime is 201122001120109. The reversal of 201122001120100 is 1021100221102.

It can be written as a sum of positive squares in 3 ways, for example, as 65155020721956 + 135966980398144 = 8071866^2 + 11660488^2 .

It is not an unprimeable number, because it can be changed into a prime (201122001120109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1005610005501 + ... + 1005610005700.

Almost surely, 2^{201122001120100} is an apocalyptic number.

201122001120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201122001120100 is an abundant number, since it is smaller than the sum of its proper divisors (235312741310734).

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

201122001120100 is a wasteful number, since it uses less digits than its factorization.

201122001120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011220011215 (or 2011220011208 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 201122001120100 its reverse (1021100221102), we get a palindrome (202143101341202).

The spelling of 201122001120100 in words is "two hundred one trillion, one hundred twenty-two billion, one million, one hundred twenty thousand, one hundred".