201100122121100 has 144 divisors (see below), whose sum is σ = 463324828750560. Its totient is φ = 75500696678400.

The previous prime is 201100122121081. The next prime is 201100122121141. The reversal of 201100122121100 is 1121221001102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2001762671 + ... + 2001863129.

It is an arithmetic number, because the mean of its divisors is an integer number (3217533532990).

Almost surely, 2^{201100122121100} is an apocalyptic number.

201100122121100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201100122121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231662414375280).

201100122121100 is an abundant number, since it is smaller than the sum of its proper divisors (262224706629460).

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

201100122121100 is a wasteful number, since it uses less digits than its factorization.

201100122121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103708 (or 103701 counting only the distinct ones).

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

Adding to 201100122121100 its reverse (1121221001102), we get a palindrome (202221343122202).

The spelling of 201100122121100 in words is "two hundred one trillion, one hundred billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred".