100222122211211 has 16 divisors (see below), whose sum is σ = 134563968284928. Its totient is φ = 72087840151200.

The previous prime is 100222122211193. The next prime is 100222122211213. The reversal of 100222122211211 is 112112221222001.

It is a cyclic number.

It is not a de Polignac number, because 100222122211211 - 2⁶ = 100222122211147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100222122211213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50060999105 + ... + 50061001106.

It is an arithmetic number, because the mean of its divisors is an integer number (8410248017808).

Almost surely, 2^{100222122211211} is an apocalyptic number.

100222122211211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100222122211211 is a deficient number, since it is larger than the sum of its proper divisors (34341846073717).

100222122211211 is a wasteful number, since it uses less digits than its factorization.

100222122211211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100122000242.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 100222122211211 its reverse (112112221222001), we get a palindrome (212334343433212).

The spelling of 100222122211211 in words is "one hundred trillion, two hundred twenty-two billion, one hundred twenty-two million, two hundred eleven thousand, two hundred eleven".