100110211201111 has 16 divisors (see below), whose sum is σ = 107243415938560. Its totient is φ = 93171145224960.

The previous prime is 100110211201027. The next prime is 100110211201171. The reversal of 100110211201111 is 111102112011001.

It is a cyclic number.

It is not a de Polignac number, because 100110211201111 - 2¹⁷ = 100110211070039 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100110211201091 and 100110211201100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110211201171) 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, 106673370 + ... + 107607751.

It is an arithmetic number, because the mean of its divisors is an integer number (6702713496160).

Almost surely, 2^{100110211201111} is an apocalyptic number.

100110211201111 is a deficient number, since it is larger than the sum of its proper divisors (7133204737449).

100110211201111 is a wasteful number, since it uses less digits than its factorization.

100110211201111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214281574.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 100110211201111 its reverse (111102112011001), we get a palindrome (211212323212112).

The spelling of 100110211201111 in words is "one hundred trillion, one hundred ten billion, two hundred eleven million, two hundred one thousand, one hundred eleven".