100112211102111 has 16 divisors (see below), whose sum is σ = 144102336359520. Its totient is φ = 61456884894720.

The previous prime is 100112211102103. The next prime is 100112211102173. The reversal of 100112211102111 is 111201112211001.

It is not a de Polignac number, because 100112211102111 - 2³ = 100112211102103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112211172111) 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, 3138101130 + ... + 3138133031.

It is an arithmetic number, because the mean of its divisors is an integer number (9006396022470).

Almost surely, 2^{100112211102111} is an apocalyptic number.

100112211102111 is a deficient number, since it is larger than the sum of its proper divisors (43990125257409).

100112211102111 is a wasteful number, since it uses less digits than its factorization.

100112211102111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6276234586.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 100112211102111 its reverse (111201112211001), we get a palindrome (211313323313112).

The spelling of 100112211102111 in words is "one hundred trillion, one hundred twelve billion, two hundred eleven million, one hundred two thousand, one hundred eleven".