100010010111101 has 8 divisors (see below), whose sum is σ = 100331373701760. Its totient is φ = 99688658258592.

The previous prime is 100010010111079. The next prime is 100010010111127. The reversal of 100010010111101 is 101111010010001.

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 100010010111101 - 2³⁸ = 99735132204157 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 (100010010114101) 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, 14295266 + ... + 20109068.

It is an arithmetic number, because the mean of its divisors is an integer number (12541421712720).

Almost surely, 2^{100010010111101} is an apocalyptic number.

It is an amenable number.

100010010111101 is a deficient number, since it is larger than the sum of its proper divisors (321363590659).

100010010111101 is an equidigital number, since it uses as much as digits as its factorization.

100010010111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5869075.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100010010111101 its reverse (101111010010001), we get a palindrome (201121020121102).

The spelling of 100010010111101 in words is "one hundred trillion, ten billion, ten million, one hundred eleven thousand, one hundred one".