221001112122101 has 8 divisors (see below), whose sum is σ = 228133593279744. Its totient is φ = 213868844278560.

The previous prime is 221001112122083. The next prime is 221001112122113. The reversal of 221001112122101 is 101221211100122.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 221001112122101 - 2¹⁰ = 221001112121077 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 221001112122101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221001112122151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51221696 + ... + 55368441.

It is an arithmetic number, because the mean of its divisors is an integer number (28516699159968).

Almost surely, 2^{221001112122101} is an apocalyptic number.

It is an amenable number.

221001112122101 is a deficient number, since it is larger than the sum of its proper divisors (7132481157643).

221001112122101 is a wasteful number, since it uses less digits than its factorization.

221001112122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106657051.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 221001112122101 its reverse (101221211100122), we get a palindrome (322222323222223).

The spelling of 221001112122101 in words is "two hundred twenty-one trillion, one billion, one hundred twelve million, one hundred twenty-two thousand, one hundred one".