100221202111221 has 24 divisors (see below), whose sum is σ = 146123043341184. Its totient is φ = 66186917432640.

The previous prime is 100221202111201. The next prime is 100221202111231. The reversal of 100221202111221 is 122111202122001.

100221202111221 is a `hidden beast` number, since 10 + 0 + 221 + 2 + 0 + 211 + 1 + 221 = 666.

It is not a de Polignac number, because 100221202111221 - 2¹⁴ = 100221202094837 is a prime.

It is a super-2 number, since 2×100221202111221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100221202111194 and 100221202111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221202111201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20824761 + ... + 25181601.

It is an arithmetic number, because the mean of its divisors is an integer number (6088460139216).

Almost surely, 2^{100221202111221} is an apocalyptic number.

It is an amenable number.

100221202111221 is a deficient number, since it is larger than the sum of its proper divisors (45901841229963).

100221202111221 is a wasteful number, since it uses less digits than its factorization.

100221202111221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4380841 (or 4380838 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100221202111221 its reverse (122111202122001), we get a palindrome (222332404233222).

The spelling of 100221202111221 in words is "one hundred trillion, two hundred twenty-one billion, two hundred two million, one hundred eleven thousand, two hundred twenty-one".