201101022011020 has 96 divisors (see below), whose sum is σ = 440381362176000. Its totient is φ = 77043368795904.

The previous prime is 201101022010997. The next prime is 201101022011041. The reversal of 201101022011020 is 20110220101102.

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, 493539331 + ... + 493946629.

It is an arithmetic number, because the mean of its divisors is an integer number (4587305856000).

Almost surely, 2^{201101022011020} is an apocalyptic number.

201101022011020 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 201101022011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220190681088000).

201101022011020 is an abundant number, since it is smaller than the sum of its proper divisors (239280340164980).

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

201101022011020 is a wasteful number, since it uses less digits than its factorization.

201101022011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414167 (or 414165 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 201101022011020 its reverse (20110220101102), we get a palindrome (221211242112122).

The spelling of 201101022011020 in words is "two hundred one trillion, one hundred one billion, twenty-two million, eleven thousand, twenty".