101112222220221 has 8 divisors (see below), whose sum is σ = 134816343577344. Its totient is φ = 67408124504960.

The previous prime is 101112222220199. The next prime is 101112222220259. The reversal of 101112222220221 is 122022222211101.

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 101112222220221 - 2⁹ = 101112222219709 is a prime.

It is a super-2 number, since 2×101112222220221² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112222220291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10895245 + ... + 17914541.

It is an arithmetic number, because the mean of its divisors is an integer number (16852042947168).

Almost surely, 2^{101112222220221} is an apocalyptic number.

It is an amenable number.

101112222220221 is a deficient number, since it is larger than the sum of its proper divisors (33704121357123).

101112222220221 is an equidigital number, since it uses as much as digits as its factorization.

101112222220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11820931.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 101112222220221 its reverse (122022222211101), we get a palindrome (223134444431322).

The spelling of 101112222220221 in words is "one hundred one trillion, one hundred twelve billion, two hundred twenty-two million, two hundred twenty thousand, two hundred twenty-one".