100222010121211 has 32 divisors (see below), whose sum is σ = 112948786298880. Its totient is φ = 88159516317600.

The previous prime is 100222010121179. The next prime is 100222010121257. The reversal of 100222010121211 is 112121010222001.

It is a cyclic number.

It is not a de Polignac number, because 100222010121211 - 2⁵ = 100222010121179 is a prime.

It is a super-2 number, since 2×100222010121211² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100222010221211) 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 31 ways as a sum of consecutive naturals, for example, 5440350 + ... + 15167116.

It is an arithmetic number, because the mean of its divisors is an integer number (3529649571840).

Almost surely, 2^{100222010121211} is an apocalyptic number.

100222010121211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100222010121211 is a deficient number, since it is larger than the sum of its proper divisors (12726776177669).

100222010121211 is a wasteful number, since it uses less digits than its factorization.

100222010121211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9727095.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100222010121211 its reverse (112121010222001), we get a palindrome (212343020343212).

The spelling of 100222010121211 in words is "one hundred trillion, two hundred twenty-two billion, ten million, one hundred twenty-one thousand, two hundred eleven".