101112121220221 has 8 divisors (see below), whose sum is σ = 101393780903000. Its totient is φ = 100830811210560.

The previous prime is 101112121220197. The next prime is 101112121220261. The reversal of 101112121220221 is 122022121211101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 361819092196 + 100750302128025 = 601514^2 + 10037445^2 .

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 101112121220221 - 2⁵ = 101112121220189 is a prime.

It is a super-2 number, since 2×101112121220221² (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 (101112121220261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86839146 + ... + 87995803.

It is an arithmetic number, because the mean of its divisors is an integer number (12674222612875).

Almost surely, 2^{101112121220221} is an apocalyptic number.

It is an amenable number.

101112121220221 is a deficient number, since it is larger than the sum of its proper divisors (281659682779).

101112121220221 is a wasteful number, since it uses less digits than its factorization.

101112121220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174836559.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 101112121220221 its reverse (122022121211101), we get a palindrome (223134242431322).

The spelling of 101112121220221 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty-one million, two hundred twenty thousand, two hundred twenty-one".