1100110100101 has 8 divisors (see below), whose sum is σ = 1126974875544. Its totient is φ = 1073246887680.

The previous prime is 1100110100053. The next prime is 1100110100119. The reversal of 1100110100101 is 1010010110011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 48070124001 + 1052039976100 = 219249^2 + 1025690^2 .

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 1100110100101 - 2¹³ = 1100110091909 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 (1100110100171) 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, 1102975 + ... + 1848451.

It is an arithmetic number, because the mean of its divisors is an integer number (140871859443).

Almost surely, 2^{1100110100101} is an apocalyptic number.

It is an amenable number.

1100110100101 is a deficient number, since it is larger than the sum of its proper divisors (26864775443).

1100110100101 is an equidigital number, since it uses as much as digits as its factorization.

1100110100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781511.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1100110100101 its reverse (1010010110011), we get a palindrome (2110120210112).

The spelling of 1100110100101 in words is "one trillion, one hundred billion, one hundred ten million, one hundred thousand, one hundred one".