100111121122211 has 4 divisors (see below), whose sum is σ = 100148295696432. Its totient is φ = 100073946547992.

The previous prime is 100111121122127. The next prime is 100111121122241. The reversal of 100111121122211 is 112221121111001.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 100111121122211 - 2³⁴ = 100093941253027 is a prime.

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 100111121122211.

It is not an unprimeable number, because it can be changed into a prime (100111121122241) 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 3 ways as a sum of consecutive naturals, for example, 18587283071 + ... + 18587288456.

It is an arithmetic number, because the mean of its divisors is an integer number (25037073924108).

Almost surely, 2^{100111121122211} is an apocalyptic number.

100111121122211 is a deficient number, since it is larger than the sum of its proper divisors (37174574221).

100111121122211 is an equidigital number, since it uses as much as digits as its factorization.

100111121122211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37174574220.

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

Adding to 100111121122211 its reverse (112221121111001), we get a palindrome (212332242233212).

The spelling of 100111121122211 in words is "one hundred trillion, one hundred eleven billion, one hundred twenty-one million, one hundred twenty-two thousand, two hundred eleven".