100111010001101 has 8 divisors (see below), whose sum is σ = 109212406847424. Its totient is φ = 91009679144320.

The previous prime is 100111010001091. The next prime is 100111010001103. The reversal of 100111010001101 is 101100010111001.

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 100111010001101 - 2³⁸ = 99836132094157 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 (100111010001103) 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, 13298345 + ... + 19418238.

It is an arithmetic number, because the mean of its divisors is an integer number (13651550855928).

Almost surely, 2^{100111010001101} is an apocalyptic number.

100111010001101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100111010001101 is a deficient number, since it is larger than the sum of its proper divisors (9101396846323).

100111010001101 is a wasteful number, since it uses less digits than its factorization.

100111010001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32994771.

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

Adding to 100111010001101 its reverse (101100010111001), we get a palindrome (201211020112102).

The spelling of 100111010001101 in words is "one hundred trillion, one hundred eleven billion, ten million, one thousand, one hundred one".