100111001110101 has 24 divisors (see below), whose sum is σ = 145017466455576. Its totient is φ = 66550204385280.

The previous prime is 100111001109971. The next prime is 100111001110103. The reversal of 100111001110101 is 101011100111001.

It can be written as a sum of positive squares in 4 ways, for example, as 14652550458225 + 85458450651876 = 3827865^2 + 9244374^2 .

It is not a de Polignac number, because 100111001110101 - 2²⁹ = 100110464239189 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111001110103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164012991 + ... + 164622243.

It is an arithmetic number, because the mean of its divisors is an integer number (6042394435649).

Almost surely, 2^{100111001110101} is an apocalyptic number.

It is an amenable number.

100111001110101 is a deficient number, since it is larger than the sum of its proper divisors (44906465345475).

100111001110101 is a wasteful number, since it uses less digits than its factorization.

100111001110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661333 (or 661330 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 100111001110101 its reverse (101011100111001), we get a palindrome (201122101221102).

The spelling of 100111001110101 in words is "one hundred trillion, one hundred eleven billion, one million, one hundred ten thousand, one hundred one".