201121102001100 has 144 divisors (see below), whose sum is σ = 587610872247168. Its totient is φ = 53107350965760.

The previous prime is 201121102001087. The next prime is 201121102001101. The reversal of 201121102001100 is 1100201121102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (201121102001101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70603632 + ... + 73396968.

It is an arithmetic number, because the mean of its divisors is an integer number (4080631057272).

Almost surely, 2^{201121102001100} is an apocalyptic number.

201121102001100 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 201121102001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293805436123584).

201121102001100 is an abundant number, since it is smaller than the sum of its proper divisors (386489770246068).

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

201121102001100 is a wasteful number, since it uses less digits than its factorization.

201121102001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2795704 (or 2795697 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201121102001100 its reverse (1100201121102), we get a palindrome (202221303122202).

The spelling of 201121102001100 in words is "two hundred one trillion, one hundred twenty-one billion, one hundred two million, one thousand, one hundred".