201011102021100 has 288 divisors, whose sum is σ = 665275608524800. Its totient is φ = 45904015180800.

The previous prime is 201011102021053. The next prime is 201011102021101. The reversal of 201011102021100 is 1120201110102.

201011102021100 is digitally balanced in base 3, because in such base 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 not an unprimeable number, because it can be changed into a prime (201011102021101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14328248886 + ... + 14328262914.

Almost surely, 2^{201011102021100} is an apocalyptic number.

201011102021100 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 201011102021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332637804262400).

201011102021100 is an abundant number, since it is smaller than the sum of its proper divisors (464264506503700).

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

201011102021100 is a wasteful number, since it uses less digits than its factorization.

201011102021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19713 (or 19706 counting only the distinct ones).

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

Adding to 201011102021100 its reverse (1120201110102), we get a palindrome (202131303131202).

The spelling of 201011102021100 in words is "two hundred one trillion, eleven billion, one hundred two million, twenty-one thousand, one hundred".