100100100100111 has 4 divisors (see below), whose sum is σ = 103551827689800. Its totient is φ = 96648372510424.

The previous prime is 100100100100073. The next prime is 100100100100139. The reversal of 100100100100111 is 111001001001001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 100100100100111 - 2¹⁷ = 100100099969039 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100100100100094 and 100100100100103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100100100211) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1725863794801 + ... + 1725863794858.

It is an arithmetic number, because the mean of its divisors is an integer number (25887956922450).

Almost surely, 2^{100100100100111} is an apocalyptic number.

100100100100111 is a deficient number, since it is larger than the sum of its proper divisors (3451727589689).

100100100100111 is an equidigital number, since it uses as much as digits as its factorization.

100100100100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3451727589688.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100100100100111 its reverse (111001001001001), we get a palindrome (211101101101112).

It can be divided in two parts, 1001001001001 and 11, that multiplied together give a palindrome (11011011011011).

The spelling of 100100100100111 in words is "one hundred trillion, one hundred billion, one hundred million, one hundred thousand, one hundred eleven".