100021122201 has 256 divisors, whose sum is σ = 190625218560. Its totient is φ = 44993387520.

The previous prime is 100021122199. The next prime is 100021122209. The reversal of 100021122201 is 102221120001.

It is not a de Polignac number, because 100021122201 - 2¹ = 100021122199 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100021122209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 558777130 + ... + 558777308.

It is an arithmetic number, because the mean of its divisors is an integer number (744629760).

Almost surely, 2^100021122201 is an apocalyptic number.

100021122201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100021122201 is a deficient number, since it is larger than the sum of its proper divisors (90604096359).

100021122201 is a wasteful number, since it uses less digits than its factorization.

100021122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100021122201 its reverse (102221120001), we get a palindrome (202242242202).

It can be divided in two parts, 100021 and 122201, that added together give a palindrome (222222).

The spelling of 100021122201 in words is "one hundred billion, twenty-one million, one hundred twenty-two thousand, two hundred one".