100122110112011 has 16 divisors (see below), whose sum is σ = 108910114064640. Its totient is φ = 91489607299200.

The previous prime is 100122110112001. The next prime is 100122110112043. The reversal of 100122110112011 is 110211011221001.

It is a cyclic number.

It is not a de Polignac number, because 100122110112011 - 2²² = 100122105917707 is a prime.

It is a super-3 number, since 3×100122110112011³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100122110112001) 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, 1073510 + ... + 14191428.

It is an arithmetic number, because the mean of its divisors is an integer number (6806882129040).

Almost surely, 2^{100122110112011} is an apocalyptic number.

100122110112011 is a deficient number, since it is larger than the sum of its proper divisors (8788003952629).

100122110112011 is a wasteful number, since it uses less digits than its factorization.

100122110112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13123846.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100122110112011 its reverse (110211011221001), we get a palindrome (210333121333012).

The spelling of 100122110112011 in words is "one hundred trillion, one hundred twenty-two billion, one hundred ten million, one hundred twelve thousand, eleven".