100111100110101 has 12 divisors (see below), whose sum is σ = 144605102473260. Its totient is φ = 66740650287360.

The previous prime is 100111100110027. The next prime is 100111100110117. The reversal of 100111100110101 is 101011001111001.

It can be written as a sum of positive squares in 2 ways, for example, as 53193668973201 + 46917431136900 = 7293399^2 + 6849630^2 .

It is not a de Polignac number, because 100111100110101 - 2³⁴ = 100093920240917 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111100110181) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1203685 + ... + 14201093.

It is an arithmetic number, because the mean of its divisors is an integer number (12050425206105).

Almost surely, 2^{100111100110101} is an apocalyptic number.

It is an amenable number.

100111100110101 is a deficient number, since it is larger than the sum of its proper divisors (44494002363159).

100111100110101 is a wasteful number, since it uses less digits than its factorization.

100111100110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13853236 (or 13853233 counting only the distinct ones).

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

Adding to 100111100110101 its reverse (101011001111001), we get a palindrome (201122101221102).

It can be divided in two parts, 1001111001 and 10101, that multiplied together give a palindrome (10112222221101).

The spelling of 100111100110101 in words is "one hundred trillion, one hundred eleven billion, one hundred million, one hundred ten thousand, one hundred one".