201022012101120 has 960 divisors, whose sum is σ = 776306729189376. Its totient is φ = 44199008501760.

The previous prime is 201022012101077. The next prime is 201022012101149. The reversal of 201022012101120 is 21101210220102.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201022012101120.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1948157049 + ... + 1948260231.

Almost surely, 2^{201022012101120} is an apocalyptic number.

201022012101120 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 201022012101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388153364594688).

201022012101120 is an abundant number, since it is smaller than the sum of its proper divisors (575284717088256).

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

201022012101120 is a wasteful number, since it uses less digits than its factorization.

201022012101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103421 (or 103398 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201022012101120 its reverse (21101210220102), we get a palindrome (222123222321222).

The spelling of 201022012101120 in words is "two hundred one trillion, twenty-two billion, twelve million, one hundred one thousand, one hundred twenty".