100201222212221 has 12 divisors (see below), whose sum is σ = 108559844999028. Its totient is φ = 92444053089024.

The previous prime is 100201222212209. The next prime is 100201222212271. The reversal of 100201222212221 is 122212222102001.

It can be written as a sum of positive squares in 6 ways, for example, as 65898108595225 + 34303113616996 = 8117765^2 + 5856886^2 .

It is not a de Polignac number, because 100201222212221 - 2³⁴ = 100184042343037 is a prime.

It is a super-2 number, since 2×100201222212221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100201222212193 and 100201222212202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201222212271) 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, 157960730 + ... + 158593803.

It is an arithmetic number, because the mean of its divisors is an integer number (9046653749919).

Almost surely, 2^{100201222212221} is an apocalyptic number.

It is an amenable number.

100201222212221 is a deficient number, since it is larger than the sum of its proper divisors (8358622786807).

100201222212221 is a wasteful number, since it uses less digits than its factorization.

100201222212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316556432 (or 316556419 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 100201222212221 its reverse (122212222102001), we get a palindrome (222413444314222).

The spelling of 100201222212221 in words is "one hundred trillion, two hundred one billion, two hundred twenty-two million, two hundred twelve thousand, two hundred twenty-one".