21100120201120 has 48 divisors (see below), whose sum is σ = 49867221452328. Its totient is φ = 8436968719360.

The previous prime is 21100120201103. The next prime is 21100120201163. The reversal of 21100120201120 is 2110202100112.

It can be written as a sum of positive squares in 4 ways, for example, as 10459972019344 + 10640148181776 = 3234188^2 + 3261924^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 21100120201120.

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 7 ways as a sum of consecutive naturals, for example, 23617579 + ... + 24494698.

Almost surely, 2^{21100120201120} is an apocalyptic number.

21100120201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21100120201120 is an abundant number, since it is smaller than the sum of its proper divisors (28767101251208).

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

21100120201120 is a wasteful number, since it uses less digits than its factorization.

21100120201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48115033 (or 48115025 counting only the distinct ones).

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

Adding to 21100120201120 its reverse (2110202100112), we get a palindrome (23210322301232).

The spelling of 21100120201120 in words is "twenty-one trillion, one hundred billion, one hundred twenty million, two hundred one thousand, one hundred twenty".