100222011220221 has 24 divisors (see below), whose sum is σ = 159828311444256. Its totient is φ = 60008798243040.

The previous prime is 100222011220213. The next prime is 100222011220241. The reversal of 100222011220221 is 122022110222001.

It is a happy number.

100222011220221 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 220 + 1 + 1 + 220 + 221 = 666.

It is not a de Polignac number, because 100222011220221 - 2³ = 100222011220213 is a prime.

It is a super-2 number, since 2×100222011220221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100222011220194 and 100222011220203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222011220241) 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, 6098446890 + ... + 6098463323.

It is an arithmetic number, because the mean of its divisors is an integer number (6659512976844).

Almost surely, 2^{100222011220221} is an apocalyptic number.

100222011220221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100222011220221 is a deficient number, since it is larger than the sum of its proper divisors (59606300224035).

100222011220221 is a wasteful number, since it uses less digits than its factorization.

100222011220221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12196910313 (or 12196910310 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100222011220221 its reverse (122022110222001), we get a palindrome (222244121442222).

The spelling of 100222011220221 in words is "one hundred trillion, two hundred twenty-two billion, eleven million, two hundred twenty thousand, two hundred twenty-one".