201111122221020 has 384 divisors, whose sum is σ = 691990497192960. Its totient is φ = 48080687616000.

The previous prime is 201111122220971. The next prime is 201111122221039. The reversal of 201111122221020 is 20122221111102.

201111122221020 is a `hidden beast` number, since 201 + 1 + 1 + 11 + 222 + 210 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201111122220984 and 201111122221002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4566430200 + ... + 4566474240.

It is an arithmetic number, because the mean of its divisors is an integer number (1802058586440).

Almost surely, 2^{201111122221020} is an apocalyptic number.

201111122221020 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 201111122221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345995248596480).

201111122221020 is an abundant number, since it is smaller than the sum of its proper divisors (490879374971940).

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

201111122221020 is a wasteful number, since it uses less digits than its factorization.

201111122221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54674 (or 54666 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 201111122221020 its reverse (20122221111102), we get a palindrome (221233343332122).

The spelling of 201111122221020 in words is "two hundred one trillion, one hundred eleven billion, one hundred twenty-two million, two hundred twenty-one thousand, twenty".