201020101121100 has 72 divisors (see below), whose sum is σ = 581621164488000. Its totient is φ = 53605083318080.

The previous prime is 201020101121089. The next prime is 201020101121159. The reversal of 201020101121100 is 1121101020102.

201020101121100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60100651 + ... + 63357149.

It is an arithmetic number, because the mean of its divisors is an integer number (8078071729000).

Almost surely, 2^{201020101121100} is an apocalyptic number.

201020101121100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201020101121100 is an abundant number, since it is smaller than the sum of its proper divisors (380601063366900).

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

201020101121100 is a wasteful number, since it uses less digits than its factorization.

201020101121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3462279 (or 3462272 counting only the distinct ones).

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

Adding to 201020101121100 its reverse (1121101020102), we get a palindrome (202141202141202).

The spelling of 201020101121100 in words is "two hundred one trillion, twenty billion, one hundred one million, one hundred twenty-one thousand, one hundred".