21121100201120 has 24 divisors (see below), whose sum is σ = 49898599225524. Its totient is φ = 8448440080384.

The previous prime is 21121100201111. The next prime is 21121100201197. The reversal of 21121100201120 is 2110200112112.

It can be written as a sum of positive squares in 2 ways, for example, as 21117002664976 + 4097536144 = 4595324^2 + 64012^2 .

It is a super-2 number, since 2×21121100201120² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21121100201095 and 21121100201104.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66003437969 + ... + 66003438288.

Almost surely, 2^{21121100201120} is an apocalyptic number.

21121100201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121100201120 is an abundant number, since it is smaller than the sum of its proper divisors (28777499024404).

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

21121100201120 is a wasteful number, since it uses less digits than its factorization.

21121100201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132006876272 (or 132006876264 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21121100201120 its reverse (2110200112112), we get a palindrome (23231300313232).

The spelling of 21121100201120 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred million, two hundred one thousand, one hundred twenty".