21111110011200 has 1344 divisors, whose sum is σ = 78553117350144. Its totient is φ = 4920115200000.

The previous prime is 21111110011193. The next prime is 21111110011213. The reversal of 21111110011200 is 211001111112.

It is a super-3 number, since 3×21111110011200³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31938138870 + ... + 31938139530.

Almost surely, 2^{21111110011200} is an apocalyptic number.

21111110011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21111110011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39276558675072).

21111110011200 is an abundant number, since it is smaller than the sum of its proper divisors (57442007338944).

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

21111110011200 is a wasteful number, since it uses less digits than its factorization.

21111110011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 949 counting only the distinct ones).

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

Adding to 21111110011200 its reverse (211001111112), we get a palindrome (21322111122312).

The spelling of 21111110011200 in words is "twenty-one trillion, one hundred eleven billion, one hundred ten million, eleven thousand, two hundred".