100111110110101 has 16 divisors (see below), whose sum is σ = 101231647386480. Its totient is φ = 98993165644800.

The previous prime is 100111110110057. The next prime is 100111110110177. The reversal of 100111110110101 is 101011011111001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1581683522500 + 98529426587601 = 1257650^2 + 9926199^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111110110101 - 2¹⁷ = 100111109979029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111110110701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358274295 + ... + 358553611.

It is an arithmetic number, because the mean of its divisors is an integer number (6326977961655).

Almost surely, 2^{100111110110101} is an apocalyptic number.

It is an amenable number.

100111110110101 is a deficient number, since it is larger than the sum of its proper divisors (1120537276379).

100111110110101 is a wasteful number, since it uses less digits than its factorization.

100111110110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283944.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 100111110110101 its reverse (101011011111001), we get a palindrome (201122121221102).

The spelling of 100111110110101 in words is "one hundred trillion, one hundred eleven billion, one hundred ten million, one hundred ten thousand, one hundred one".