100122112211 has 16 divisors (see below), whose sum is σ = 111224793600. Its totient is φ = 89365754400.

The previous prime is 100122112177. The next prime is 100122112219. The reversal of 100122112211 is 112211221001.

It is a cyclic number.

It is not a de Polignac number, because 100122112211 - 2³⁰ = 99048370387 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100122112219) 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, 166280 + ... + 477381.

It is an arithmetic number, because the mean of its divisors is an integer number (6951549600).

Almost surely, 2^100122112211 is an apocalyptic number.

100122112211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100122112211 is a deficient number, since it is larger than the sum of its proper divisors (11102681389).

100122112211 is a wasteful number, since it uses less digits than its factorization.

100122112211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643930.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100122112211 its reverse (112211221001), we get a palindrome (212333333212).

The spelling of 100122112211 in words is "one hundred billion, one hundred twenty-two million, one hundred twelve thousand, two hundred eleven".