201111021021100 has 144 divisors (see below), whose sum is σ = 457935190272000. Its totient is φ = 76517171723520.

The previous prime is 201111021021091. The next prime is 201111021021187. The reversal of 201111021021100 is 1120120111102.

It is a happy number.

It is a super-2 number, since 2×201111021021100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 294249561 + ... + 294932239.

It is an arithmetic number, because the mean of its divisors is an integer number (3180105488000).

Almost surely, 2^{201111021021100} is an apocalyptic number.

201111021021100 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 201111021021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228967595136000).

201111021021100 is an abundant number, since it is smaller than the sum of its proper divisors (256824169250900).

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

201111021021100 is a wasteful number, since it uses less digits than its factorization.

201111021021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683432 (or 683425 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 201111021021100 its reverse (1120120111102), we get a palindrome (202231141132202).

The spelling of 201111021021100 in words is "two hundred one trillion, one hundred eleven billion, twenty-one million, twenty-one thousand, one hundred".