221110000112001 has 384 divisors, whose sum is σ = 418992253120512. Its totient is φ = 100610864640000.

The previous prime is 221110000111961. The next prime is 221110000112011. The reversal of 221110000112001 is 100211000011122.

It is not a de Polignac number, because 221110000112001 - 2¹⁸ = 221109999849857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221110000112011) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 9774534471 + ... + 9774557091.

It is an arithmetic number, because the mean of its divisors is an integer number (1091125659168).

Almost surely, 2^{221110000112001} is an apocalyptic number.

221110000112001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221110000112001 is a deficient number, since it is larger than the sum of its proper divisors (197882253008511).

221110000112001 is a wasteful number, since it uses less digits than its factorization.

221110000112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22873 (or 22860 counting only the distinct ones).

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

Adding to 221110000112001 its reverse (100211000011122), we get a palindrome (321321000123123).

The spelling of 221110000112001 in words is "two hundred twenty-one trillion, one hundred ten billion, one hundred twelve thousand, one".