1100010100101 has 16 divisors (see below), whose sum is σ = 1600172954688. Its totient is φ = 666606844800.

The previous prime is 1100010100081. The next prime is 1100010100169. The reversal of 1100010100101 is 1010010100011.

It is not a de Polignac number, because 1100010100101 - 2¹¹ = 1100010098053 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1100010100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100010100181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1308856 + ... + 1978161.

It is an arithmetic number, because the mean of its divisors is an integer number (100010809668).

Almost surely, 2^{1100010100101} is an apocalyptic number.

1100010100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100010100101 is a deficient number, since it is larger than the sum of its proper divisors (500162854587).

1100010100101 is a wasteful number, since it uses less digits than its factorization.

1100010100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3297172.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1100010100101 its reverse (1010010100011), we get a palindrome (2110020200112).

It can be divided in two parts, 11000 and 10100101, that added together give a palindrome (10111101).

The spelling of 1100010100101 in words is "one trillion, one hundred billion, ten million, one hundred thousand, one hundred one".