100012101100111 has 16 divisors (see below), whose sum is σ = 104989382599680. Its totient is φ = 95144302491840.

The previous prime is 100012101100099. The next prime is 100012101100123. The reversal of 100012101100111 is 111001101210001.

It is an interprime number because it is at equal distance from previous prime (100012101100099) and next prime (100012101100123).

It is a cyclic number.

It is not a de Polignac number, because 100012101100111 - 2²⁷ = 100011966882383 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012101100141) 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, 174322755 + ... + 174895531.

It is an arithmetic number, because the mean of its divisors is an integer number (6561836412480).

Almost surely, 2^{100012101100111} is an apocalyptic number.

100012101100111 is a deficient number, since it is larger than the sum of its proper divisors (4977281499569).

100012101100111 is an equidigital number, since it uses as much as digits as its factorization.

100012101100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668334.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 100012101100111 its reverse (111001101210001), we get a palindrome (211013202310112).

The spelling of 100012101100111 in words is "one hundred trillion, twelve billion, one hundred one million, one hundred thousand, one hundred eleven".