100022101101221 has 32 divisors (see below), whose sum is σ = 110451028076928. Its totient is φ = 89993017175040.

The previous prime is 100022101101199. The next prime is 100022101101317. The reversal of 100022101101221 is 122101101220001.

It is a cyclic number.

It is not a de Polignac number, because 100022101101221 - 2¹⁰ = 100022101100197 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100022101101196 and 100022101101205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022101104221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 555906545 + ... + 556086441.

It is an arithmetic number, because the mean of its divisors is an integer number (3451594627404).

Almost surely, 2^{100022101101221} is an apocalyptic number.

It is an amenable number.

100022101101221 is a deficient number, since it is larger than the sum of its proper divisors (10428926975707).

100022101101221 is a wasteful number, since it uses less digits than its factorization.

100022101101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182021.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100022101101221 its reverse (122101101220001), we get a palindrome (222123202321222).

The spelling of 100022101101221 in words is "one hundred trillion, twenty-two billion, one hundred one million, one hundred one thousand, two hundred twenty-one".