201022211120 has 20 divisors (see below), whose sum is σ = 467376641040. Its totient is φ = 80408884416.

The previous prime is 201022211101. The next prime is 201022211141. The reversal of 201022211120 is 21112220102.

201022211120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 201022211095 and 201022211104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1256388740 + ... + 1256388899.

It is an arithmetic number, because the mean of its divisors is an integer number (23368832052).

Almost surely, 2^201022211120 is an apocalyptic number.

201022211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201022211120 is an abundant number, since it is smaller than the sum of its proper divisors (266354429920).

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

201022211120 is a wasteful number, since it uses less digits than its factorization.

201022211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512777652 (or 2512777646 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201022211120 its reverse (21112220102), we get a palindrome (222134431222).

The spelling of 201022211120 in words is "two hundred one billion, twenty-two million, two hundred eleven thousand, one hundred twenty".