201122100001020 has 96 divisors (see below), whose sum is σ = 630940288237056. Its totient is φ = 47439119404800.

The previous prime is 201122100001013. The next prime is 201122100001033. The reversal of 201122100001020 is 20100001221102.

201122100001020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 201122100000987 and 201122100001005.

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 31 ways as a sum of consecutive naturals, for example, 4117954696 + ... + 4118003535.

It is an arithmetic number, because the mean of its divisors is an integer number (6572294669136).

Almost surely, 2^{201122100001020} is an apocalyptic number.

201122100001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201122100001020 is an abundant number, since it is smaller than the sum of its proper divisors (429818188236036).

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

201122100001020 is a wasteful number, since it uses less digits than its factorization.

201122100001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8235958291 (or 8235958289 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201122100001020 its reverse (20100001221102), we get a palindrome (221222101222122).

It can be divided in two parts, 201 and 122100001020, that added together give a palindrome (122100001221).

The spelling of 201122100001020 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred million, one thousand, twenty".