201022111120 has 80 divisors (see below), whose sum is σ = 478915316208. Its totient is φ = 78424801280.

The previous prime is 201022111117. The next prime is 201022111159. The reversal of 201022111120 is 21111220102.

It can be written as a sum of positive squares in 8 ways, for example, as 51494501776 + 149527609344 = 226924^2 + 386688^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 201022111120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15202752 + ... + 15215968.

Almost surely, 2^201022111120 is an apocalyptic number.

201022111120 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 201022111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239457658104).

201022111120 is an abundant number, since it is smaller than the sum of its proper divisors (277893205088).

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

201022111120 is a wasteful number, since it uses less digits than its factorization.

201022111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17908 (or 17902 counting only the distinct ones).

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

Adding to 201022111120 its reverse (21111220102), we get a palindrome (222133331222).

The spelling of 201022111120 in words is "two hundred one billion, twenty-two million, one hundred eleven thousand, one hundred twenty".