100122011112211 has 24 divisors (see below), whose sum is σ = 112130106021360. Its totient is φ = 89300902067520.

The previous prime is 100122011112197. The next prime is 100122011112217. The reversal of 100122011112211 is 112211110221001.

It is not a de Polignac number, because 100122011112211 - 2⁷ = 100122011112083 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100122011112217) 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 23 ways as a sum of consecutive naturals, for example, 415204585 + ... + 415445653.

It is an arithmetic number, because the mean of its divisors is an integer number (4672087750890).

Almost surely, 2^{100122011112211} is an apocalyptic number.

100122011112211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100122011112211 is a deficient number, since it is larger than the sum of its proper divisors (12008094909149).

100122011112211 is a wasteful number, since it uses less digits than its factorization.

100122011112211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305907 (or 305896 counting only the distinct ones).

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

Adding to 100122011112211 its reverse (112211110221001), we get a palindrome (212333121333212).

The spelling of 100122011112211 in words is "one hundred trillion, one hundred twenty-two billion, eleven million, one hundred twelve thousand, two hundred eleven".