21121022201120 has 48 divisors (see below), whose sum is σ = 49930628844600. Its totient is φ = 8442954676224.

The previous prime is 21121022201099. The next prime is 21121022201129. The reversal of 21121022201120 is 2110222012112.

21121022201120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13956470618896 + 7164551582224 = 3735836^2 + 2676668^2 .

It is a super-3 number, since 3×21121022201120³ (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21121022201129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42362357 + ... + 42858036.

Almost surely, 2^{21121022201120} is an apocalyptic number.

21121022201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121022201120 is an abundant number, since it is smaller than the sum of its proper divisors (28809606643480).

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

21121022201120 is a wasteful number, since it uses less digits than its factorization.

21121022201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85221957 (or 85221949 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 21121022201120 its reverse (2110222012112), we get a palindrome (23231244213232).

The spelling of 21121022201120 in words is "twenty-one trillion, one hundred twenty-one billion, twenty-two million, two hundred one thousand, one hundred twenty".