201111122010120 has 256 divisors, whose sum is σ = 708027331737600. Its totient is φ = 44740042659840.

The previous prime is 201111122010107. The next prime is 201111122010133. The reversal of 201111122010120 is 21010221111102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (201111122010107) and next prime (201111122010133).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201111122010120.

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 63 ways as a sum of consecutive naturals, for example, 7462027 + ... + 21398693.

It is an arithmetic number, because the mean of its divisors is an integer number (2765731764600).

Almost surely, 2^{201111122010120} is an apocalyptic number.

201111122010120 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 201111122010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354013665868800).

201111122010120 is an abundant number, since it is smaller than the sum of its proper divisors (506916209727480).

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

201111122010120 is a wasteful number, since it uses less digits than its factorization.

201111122010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13937148 (or 13937144 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 201111122010120 its reverse (21010221111102), we get a palindrome (222121343121222).

The spelling of 201111122010120 in words is "two hundred one trillion, one hundred eleven billion, one hundred twenty-two million, ten thousand, one hundred twenty".