201211122111020 has 96 divisors (see below), whose sum is σ = 498616698101760. Its totient is φ = 66743565880320.

The previous prime is 201211122110959. The next prime is 201211122111049. The reversal of 201211122111020 is 20111221112102.

It is a super-2 number, since 2×201211122111020² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 201211122111020.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10195076 + ... + 22502484.

It is an arithmetic number, because the mean of its divisors is an integer number (5193923938560).

Almost surely, 2^{201211122111020} is an apocalyptic number.

201211122111020 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 201211122111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249308349050880).

201211122111020 is an abundant number, since it is smaller than the sum of its proper divisors (297405575990740).

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

201211122111020 is a wasteful number, since it uses less digits than its factorization.

201211122111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12311223 (or 12311221 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 201211122111020 its reverse (20111221112102), we get a palindrome (221322343223122).

The spelling of 201211122111020 in words is "two hundred one trillion, two hundred eleven billion, one hundred twenty-two million, one hundred eleven thousand, twenty".