100111102101101 has 24 divisors (see below), whose sum is σ = 125426582820504. Its totient is φ = 79200779011200.

The previous prime is 100111102101091. The next prime is 100111102101161. The reversal of 100111102101101 is 101101201111001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 53751698718025 + 46359403383076 = 7331555^2 + 6808774^2 .

It is not a de Polignac number, because 100111102101101 - 2¹⁰ = 100111102100077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111102101161) 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, 1629650 + ... + 14243523.

It is an arithmetic number, because the mean of its divisors is an integer number (5226107617521).

Almost surely, 2^{100111102101101} is an apocalyptic number.

It is an amenable number.

100111102101101 is a deficient number, since it is larger than the sum of its proper divisors (25315480719403).

100111102101101 is a wasteful number, since it uses less digits than its factorization.

100111102101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15883101 (or 15883094 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 100111102101101 its reverse (101101201111001), we get a palindrome (201212303212102).

The spelling of 100111102101101 in words is "one hundred trillion, one hundred eleven billion, one hundred two million, one hundred one thousand, one hundred one".