100010001100111 has 8 divisors (see below), whose sum is σ = 105894721960560. Its totient is φ = 94125477975168.

The previous prime is 100010001100063. The next prime is 100010001100133. The reversal of 100010001100111 is 111001100010001.

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 100010001100111 - 2¹⁵ = 100010001067343 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100010001100094 and 100010001100103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010001100181) 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, 48391936 + ... + 50416261.

It is an arithmetic number, because the mean of its divisors is an integer number (13236840245070).

Almost surely, 2^{100010001100111} is an apocalyptic number.

100010001100111 is a deficient number, since it is larger than the sum of its proper divisors (5884720860449).

100010001100111 is an equidigital number, since it uses as much as digits as its factorization.

100010001100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98867753.

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

Adding to 100010001100111 its reverse (111001100010001), we get a palindrome (211011101110112).

The spelling of 100010001100111 in words is "one hundred trillion, ten billion, one million, one hundred thousand, one hundred eleven".