101111111201221 has 8 divisors (see below), whose sum is σ = 110361733473600. Its totient is φ = 91870272774240.

The previous prime is 101111111201171. The next prime is 101111111201249. The reversal of 101111111201221 is 122102111111101.

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 101111111201221 - 2¹⁷ = 101111111070149 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101111111201195 and 101111111201204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111111201291) 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, 2445939736 + ... + 2445981073.

It is an arithmetic number, because the mean of its divisors is an integer number (13795216684200).

Almost surely, 2^{101111111201221} is an apocalyptic number.

101111111201221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101111111201221 is a deficient number, since it is larger than the sum of its proper divisors (9250622272379).

101111111201221 is a wasteful number, since it uses less digits than its factorization.

101111111201221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4891922699.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 101111111201221 its reverse (122102111111101), we get a palindrome (223213222312322).

The spelling of 101111111201221 in words is "one hundred one trillion, one hundred eleven billion, one hundred eleven million, two hundred one thousand, two hundred twenty-one".