1100020100021 has 8 divisors (see below), whose sum is σ = 1100808838584. Its totient is φ = 1099231611840.

The previous prime is 1100020100009. The next prime is 1100020100029. The reversal of 1100020100021 is 1200010200011.

It can be written as a sum of positive squares in 4 ways, for example, as 9898260100 + 1090121839921 = 99490^2 + 1044089^2 .

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 1100020100021 - 2³⁰ = 1098946358197 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1100020099981 and 1100020100008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100020100029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9214091 + ... + 9332711.

It is an arithmetic number, because the mean of its divisors is an integer number (137601104823).

Almost surely, 2^{1100020100021} is an apocalyptic number.

It is an amenable number.

1100020100021 is a deficient number, since it is larger than the sum of its proper divisors (788738563).

1100020100021 is a wasteful number, since it uses less digits than its factorization.

1100020100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125191.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1100020100021 its reverse (1200010200011), we get a palindrome (2300030300032).

The spelling of 1100020100021 in words is "one trillion, one hundred billion, twenty million, one hundred thousand, twenty-one".