100110121222111 has 64 divisors (see below), whose sum is σ = 136710409651200. Its totient is φ = 70777173196800.

The previous prime is 100110121222093. The next prime is 100110121222123. The reversal of 100110121222111 is 111222121011001.

It is not a de Polignac number, because 100110121222111 - 2⁷ = 100110121221983 is a prime.

It is a super-2 number, since 2×100110121222111² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110121262111) 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 63 ways as a sum of consecutive naturals, for example, 448087071 + ... + 448310431.

It is an arithmetic number, because the mean of its divisors is an integer number (2136100150800).

Almost surely, 2^{100110121222111} is an apocalyptic number.

100110121222111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100110121222111 is a deficient number, since it is larger than the sum of its proper divisors (36600288429089).

100110121222111 is a wasteful number, since it uses less digits than its factorization.

100110121222111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231040.

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

Adding to 100110121222111 its reverse (111222121011001), we get a palindrome (211332242233112).

The spelling of 100110121222111 in words is "one hundred trillion, one hundred ten billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred eleven".