100110121122211 has 16 divisors (see below), whose sum is σ = 101398196420640. Its totient is φ = 98824019507200.

The previous prime is 100110121122101. The next prime is 100110121122239. The reversal of 100110121122211 is 112221121011001.

It is a cyclic number.

It is not a de Polignac number, because 100110121122211 - 2⁷ = 100110121122083 is a prime.

It is a super-2 number, since 2×100110121122211² (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 (100110121122911) 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, 753247281 + ... + 753380173.

It is an arithmetic number, because the mean of its divisors is an integer number (6337387276290).

Almost surely, 2^{100110121122211} is an apocalyptic number.

100110121122211 is a deficient number, since it is larger than the sum of its proper divisors (1288075298429).

100110121122211 is a wasteful number, since it uses less digits than its factorization.

100110121122211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140246.

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

Adding to 100110121122211 its reverse (112221121011001), we get a palindrome (212331242133212).

The spelling of 100110121122211 in words is "one hundred trillion, one hundred ten billion, one hundred twenty-one million, one hundred twenty-two thousand, two hundred eleven".