100022220222201 has 24 divisors (see below), whose sum is σ = 145907978154120. Its totient is φ = 66020825376000.

The previous prime is 100022220222187. The next prime is 100022220222341. The reversal of 100022220222201 is 102222022220001.

100022220222201 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 22 + 220 + 222 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29747195901801 + 70275024320400 = 5454099^2 + 8383020^2 .

It is not a de Polignac number, because 100022220222201 - 2⁶ = 100022220222137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100022220292201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188917635 + ... + 189446343.

It is an arithmetic number, because the mean of its divisors is an integer number (6079499089755).

Almost surely, 2^{100022220222201} is an apocalyptic number.

It is an amenable number.

100022220222201 is a deficient number, since it is larger than the sum of its proper divisors (45885757931919).

100022220222201 is a wasteful number, since it uses less digits than its factorization.

100022220222201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736937 (or 736934 counting only the distinct ones).

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

Adding to 100022220222201 its reverse (102222022220001), we get a palindrome (202244242442202).

The spelling of 100022220222201 in words is "one hundred trillion, twenty-two billion, two hundred twenty million, two hundred twenty-two thousand, two hundred one".