100112011122211 has 16 divisors (see below), whose sum is σ = 112980623614560. Its totient is φ = 87871404920320.

The previous prime is 100112011122169. The next prime is 100112011122229. The reversal of 100112011122211 is 112221110211001.

It is a cyclic number.

It is not a de Polignac number, because 100112011122211 - 2²⁵ = 100111977567779 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100112011122311) 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, 21517851 + ... + 25753483.

It is an arithmetic number, because the mean of its divisors is an integer number (7061288975910).

Almost surely, 2^{100112011122211} is an apocalyptic number.

100112011122211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100112011122211 is a deficient number, since it is larger than the sum of its proper divisors (12868612492349).

100112011122211 is a wasteful number, since it uses less digits than its factorization.

100112011122211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4309766.

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

Adding to 100112011122211 its reverse (112221110211001), we get a palindrome (212333121333212).

The spelling of 100112011122211 in words is "one hundred trillion, one hundred twelve billion, eleven million, one hundred twenty-two thousand, two hundred eleven".