101100221102221 has 8 divisors (see below), whose sum is σ = 110868590873088. Its totient is φ = 91428091428000.

The previous prime is 101100221102191. The next prime is 101100221102261. The reversal of 101100221102221 is 122201122001101.

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 101100221102221 - 2²¹ = 101100219005069 is a prime.

It is a super-3 number, since 3×101100221102221³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101100221102195 and 101100221102204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100221102261) 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, 24060021960 + ... + 24060026161.

It is an arithmetic number, because the mean of its divisors is an integer number (13858573859136).

Almost surely, 2^{101100221102221} is an apocalyptic number.

101100221102221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101100221102221 is a deficient number, since it is larger than the sum of its proper divisors (9768369770867).

101100221102221 is a wasteful number, since it uses less digits than its factorization.

101100221102221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48120048323.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101100221102221 its reverse (122201122001101), we get a palindrome (223301343103322).

The spelling of 101100221102221 in words is "one hundred one trillion, one hundred billion, two hundred twenty-one million, one hundred two thousand, two hundred twenty-one".