100222022221211 has 16 divisors (see below), whose sum is σ = 112000306975200. Its totient is φ = 88888290489600.

The previous prime is 100222022221201. The next prime is 100222022221241. The reversal of 100222022221211 is 112122220222001.

It is a cyclic number.

It is not a de Polignac number, because 100222022221211 - 2²⁶ = 100221955112347 is a prime.

It is a super-4 number, since 4×100222022221211⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100222022221201) 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 15 ways as a sum of consecutive naturals, for example, 131451245 + ... + 132211473.

It is an arithmetic number, because the mean of its divisors is an integer number (7000019185950).

Almost surely, 2^{100222022221211} is an apocalyptic number.

100222022221211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100222022221211 is a deficient number, since it is larger than the sum of its proper divisors (11778284753989).

100222022221211 is a wasteful number, since it uses less digits than its factorization.

100222022221211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052590.

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

Adding to 100222022221211 its reverse (112122220222001), we get a palindrome (212344242443212).

The spelling of 100222022221211 in words is "one hundred trillion, two hundred twenty-two billion, twenty-two million, two hundred twenty-one thousand, two hundred eleven".