201111120000021 has 288 divisors, whose sum is σ = 352945975173120. Its totient is φ = 101454202080000.

The previous prime is 201111119999981. The next prime is 201111120000053. The reversal of 201111120000021 is 120000021111102.

It is not a de Polignac number, because 201111120000021 - 2³⁰ = 201110046258197 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 201111119999961 and 201111120000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201111120000521) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 28767142836 + ... + 28767149826.

It is an arithmetic number, because the mean of its divisors is an integer number (1225506858240).

Almost surely, 2^{201111120000021} is an apocalyptic number.

201111120000021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201111120000021 is a deficient number, since it is larger than the sum of its proper divisors (151834855173099).

201111120000021 is a wasteful number, since it uses less digits than its factorization.

201111120000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7437 (or 7419 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201111120000021 its reverse (120000021111102), we get a palindrome (321111141111123).

The spelling of 201111120000021 in words is "two hundred one trillion, one hundred eleven billion, one hundred twenty million, twenty-one", and thus it is an aban number.