100010101000111 has 8 divisors (see below), whose sum is σ = 101755762012800. Its totient is φ = 98266125806040.

The previous prime is 100010101000087. The next prime is 100010101000219. The reversal of 100010101000111 is 111000101010001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100010101000111 - 2²⁹ = 100009564129199 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100010101000094 and 100010101000103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010101000811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 421334971 + ... + 421572268.

It is an arithmetic number, because the mean of its divisors is an integer number (12719470251600).

Almost surely, 2^{100010101000111} is an apocalyptic number.

100010101000111 is a deficient number, since it is larger than the sum of its proper divisors (1745661012689).

100010101000111 is an equidigital number, since it uses as much as digits as its factorization.

100010101000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842909309.

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

Adding to 100010101000111 its reverse (111000101010001), we get a palindrome (211010202010112).

It can be divided in two parts, 1000101010001 and 11, that multiplied together give a palindrome (11001111110011).

The spelling of 100010101000111 in words is "one hundred trillion, ten billion, one hundred one million, one hundred eleven", and thus it is an aban number.