100022022022221 has 12 divisors (see below), whose sum is σ = 155589812034748. Its totient is φ = 61552013552064.

The previous prime is 100022022022151. The next prime is 100022022022283. The reversal of 100022022022221 is 122220220220001.

100022022022221 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 220 + 220 + 2 + 2 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 64301377966596 + 35720644055625 = 8018814^2 + 5976675^2 .

It is not a de Polignac number, because 100022022022221 - 2¹³ = 100022022014029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100022022022194 and 100022022022203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022022022291) 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 11 ways as a sum of consecutive naturals, for example, 427444538440 + ... + 427444538673.

Almost surely, 2^{100022022022221} is an apocalyptic number.

It is an amenable number.

100022022022221 is a deficient number, since it is larger than the sum of its proper divisors (55567790012527).

100022022022221 is a wasteful number, since it uses less digits than its factorization.

100022022022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854889077132 (or 854889077129 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 100022022022221 its reverse (122220220220001), we get a palindrome (222242242242222).

The spelling of 100022022022221 in words is "one hundred trillion, twenty-two billion, twenty-two million, twenty-two thousand, two hundred twenty-one".