21111110001120 has 96 divisors (see below), whose sum is σ = 66790389849120. Its totient is φ = 5605045770240.

The previous prime is 21111110001119. The next prime is 21111110001131. The reversal of 21111110001120 is 2110001111112.

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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 21111110001096 and 21111110001105.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 95919511 + ... + 96139350.

It is an arithmetic number, because the mean of its divisors is an integer number (695733227595).

Almost surely, 2^{21111110001120} is an apocalyptic number.

21111110001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21111110001120 is an abundant number, since it is smaller than the sum of its proper divisors (45679279848000).

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

21111110001120 is a wasteful number, since it uses less digits than its factorization.

21111110001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192059108 (or 192059100 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 21111110001120 its reverse (2110001111112), we get a palindrome (23221111112232).

The spelling of 21111110001120 in words is "twenty-one trillion, one hundred eleven billion, one hundred ten million, one thousand, one hundred twenty".