1101011100001 has 16 divisors (see below), whose sum is σ = 1108509344064. Its totient is φ = 1093539271744.

The previous prime is 1101011099999. The next prime is 1101011100017. The reversal of 1101011100001 is 1000011101011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1101011100001 - 2¹ = 1101011099999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1101011100071) 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, 225753375 + ... + 225758251.

It is an arithmetic number, because the mean of its divisors is an integer number (69281834004).

Almost surely, 2^{1101011100001} is an apocalyptic number.

It is an amenable number.

1101011100001 is a deficient number, since it is larger than the sum of its proper divisors (7498244063).

1101011100001 is a wasteful number, since it uses less digits than its factorization.

1101011100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7280.

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

Adding to 1101011100001 its reverse (1000011101011), we get a palindrome (2101022201012).

It can be divided in two parts, 1101011 and 100001, that multiplied together give a palindrome (110102201011).

The spelling of 1101011100001 in words is "one trillion, one hundred one billion, eleven million, one hundred thousand, one".