221211101112001 has 192 divisors, whose sum is σ = 309546315606528. Its totient is φ = 153727580160000.

The previous prime is 221211101111981. The next prime is 221211101112011. The reversal of 221211101112001 is 100211101112122.

It is not a de Polignac number, because 221211101112001 - 2²³ = 221211092723393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221211101112011) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 83255964465 + ... + 83255967121.

It is an arithmetic number, because the mean of its divisors is an integer number (1612220393784).

Almost surely, 2^{221211101112001} is an apocalyptic number.

It is an amenable number.

221211101112001 is a deficient number, since it is larger than the sum of its proper divisors (88335214494527).

221211101112001 is a wasteful number, since it uses less digits than its factorization.

221211101112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4584 (or 4573 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 221211101112001 its reverse (100211101112122), we get a palindrome (321422202224123).

The spelling of 221211101112001 in words is "two hundred twenty-one trillion, two hundred eleven billion, one hundred one million, one hundred twelve thousand, one".