1100101100021 has 16 divisors (see below), whose sum is σ = 1452234303360. Its totient is φ = 806796833280.

The previous prime is 1100101099897. The next prime is 1100101100041. The reversal of 1100101100021 is 1200011010011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1100101100021 - 2³⁴ = 1082921230837 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1100101099981 and 1100101100008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100101100041) 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, 420205376 + ... + 420207993.

It is an arithmetic number, because the mean of its divisors is an integer number (90764643960).

Almost surely, 2^{1100101100021} is an apocalyptic number.

1100101100021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100101100021 is a deficient number, since it is larger than the sum of its proper divisors (352133203339).

1100101100021 is a wasteful number, since it uses less digits than its factorization.

1100101100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840413404.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1100101100021 its reverse (1200011010011), we get a palindrome (2300112110032).

The spelling of 1100101100021 in words is "one trillion, one hundred billion, one hundred one million, one hundred thousand, twenty-one".