201111122001020 has 192 divisors, whose sum is σ = 575503224791040. Its totient is φ = 57093573427200.

The previous prime is 201111122001007. The next prime is 201111122001061. The reversal of 201111122001020 is 20100221111102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 201111122000986 and 201111122001004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123089405 + ... + 124712564.

It is an arithmetic number, because the mean of its divisors is an integer number (2997412629120).

Almost surely, 2^{201111122001020} is an apocalyptic number.

201111122001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201111122001020 is an abundant number, since it is smaller than the sum of its proper divisors (374392102790020).

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

201111122001020 is a wasteful number, since it uses less digits than its factorization.

201111122001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247802044 (or 247802042 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201111122001020 its reverse (20100221111102), we get a palindrome (221211343112122).

The spelling of 201111122001020 in words is "two hundred one trillion, one hundred eleven billion, one hundred twenty-two million, one thousand, twenty".