100211111122211 has 16 divisors (see below), whose sum is σ = 107455182616800. Its totient is φ = 93120065077248.

The previous prime is 100211111122207. The next prime is 100211111122217. The reversal of 100211111122211 is 112221111112001.

It is a cyclic number.

It is not a de Polignac number, because 100211111122211 - 2² = 100211111122207 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100211111122211.

It is not an unprimeable number, because it can be changed into a prime (100211111122217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47453726 + ... + 49520483.

It is an arithmetic number, because the mean of its divisors is an integer number (6715948913550).

Almost surely, 2^{100211111122211} is an apocalyptic number.

100211111122211 is a deficient number, since it is larger than the sum of its proper divisors (7244071494589).

100211111122211 is an equidigital number, since it uses as much as digits as its factorization.

100211111122211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96974998.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 100211111122211 its reverse (112221111112001), we get a palindrome (212432222234212).

The spelling of 100211111122211 in words is "one hundred trillion, two hundred eleven billion, one hundred eleven million, one hundred twenty-two thousand, two hundred eleven".