21114201120 has 96 divisors (see below), whose sum is σ = 66546059328. Its totient is φ = 5627378688.

The previous prime is 21114201083. The next prime is 21114201133. The reversal of 21114201120 is 2110241112.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21114201120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 947547 + ... + 969573.

It is an arithmetic number, because the mean of its divisors is an integer number (693188118).

Almost surely, 2^21114201120 is an apocalyptic number.

21114201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21114201120 is an abundant number, since it is smaller than the sum of its proper divisors (45431858208).

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

21114201120 is a wasteful number, since it uses less digits than its factorization.

21114201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24042 (or 24034 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21114201120 its reverse (2110241112), we get a palindrome (23224442232).

It can be divided in two parts, 2111420 and 1120, that added together give a triangular number (2112540 = T₂₀₅₅).

The spelling of 21114201120 in words is "twenty-one billion, one hundred fourteen million, two hundred one thousand, one hundred twenty".