100112122210111 has 16 divisors (see below), whose sum is σ = 113964346833408. Its totient is φ = 87051940351200.

The previous prime is 100112122210097. The next prime is 100112122210169. The reversal of 100112122210111 is 111012221211001.

It is not a de Polignac number, because 100112122210111 - 2¹⁵ = 100112122177343 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112128210111) 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 15 ways as a sum of consecutive naturals, for example, 5937550 + ... + 15345316.

It is an arithmetic number, because the mean of its divisors is an integer number (7122771677088).

Almost surely, 2^{100112122210111} is an apocalyptic number.

100112122210111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100112122210111 is a deficient number, since it is larger than the sum of its proper divisors (13852224623297).

100112122210111 is a wasteful number, since it uses less digits than its factorization.

100112122210111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9449862.

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

Adding to 100112122210111 its reverse (111012221211001), we get a palindrome (211124343421112).

It can be divided in two parts, 1001121 and 22210111, that added together give a palindrome (23211232).

The spelling of 100112122210111 in words is "one hundred trillion, one hundred twelve billion, one hundred twenty-two million, two hundred ten thousand, one hundred eleven".