21122201120 has 48 divisors (see below), whose sum is σ = 49928718168. Its totient is φ = 8444221440.

The previous prime is 21122201101. The next prime is 21122201171. The reversal of 21122201120 is 2110222112.

It can be written as a sum of positive squares in 4 ways, for example, as 6491847184 + 14630353936 = 80572^2 + 120956^2 .

It is a super-3 number, since 3×21122201120³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 21122201095 and 21122201104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262292 + ... + 333228.

Almost surely, 2^21122201120 is an apocalyptic number.

21122201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122201120 is an abundant number, since it is smaller than the sum of its proper divisors (28806517048).

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

21122201120 is a wasteful number, since it uses less digits than its factorization.

21122201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72813 (or 72805 counting only the distinct ones).

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

Adding to 21122201120 its reverse (2110222112), we get a palindrome (23232423232).

The spelling of 21122201120 in words is "twenty-one billion, one hundred twenty-two million, two hundred one thousand, one hundred twenty".