201101332012020 has 288 divisors, whose sum is σ = 683825903220096. Its totient is φ = 47407997260800.

The previous prime is 201101332012003. The next prime is 201101332012027. The reversal of 201101332012020 is 20210233101102.

201101332012020 is a `hidden beast` number, since 20 + 110 + 1 + 332 + 0 + 1 + 202 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201101332011984 and 201101332012002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201101332012027) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 131915982 + ... + 133431738.

It is an arithmetic number, because the mean of its divisors is an integer number (2374395497292).

Almost surely, 2^{201101332012020} is an apocalyptic number.

201101332012020 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 201101332012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341912951610048).

201101332012020 is an abundant number, since it is smaller than the sum of its proper divisors (482724571208076).

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

201101332012020 is a wasteful number, since it uses less digits than its factorization.

201101332012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517631 (or 1517626 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 201101332012020 its reverse (20210233101102), we get a palindrome (221311565113122).

The spelling of 201101332012020 in words is "two hundred one trillion, one hundred one billion, three hundred thirty-two million, twelve thousand, twenty".