1100101001221 has 8 divisors (see below), whose sum is σ = 1111107262104. Its totient is φ = 1089096979200.

The previous prime is 1100101001203. The next prime is 1100101001227. The reversal of 1100101001221 is 1221001010011.

It can be written as a sum of positive squares in 4 ways, for example, as 1060704309025 + 39396692196 = 1029905^2 + 198486^2 .

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 1100101001221 - 2⁵ = 1100101001189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1100101001198 and 1100101001207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100101001227) 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, 436761 + ... + 1546273.

It is an arithmetic number, because the mean of its divisors is an integer number (138888407763).

Almost surely, 2^{1100101001221} is an apocalyptic number.

It is an amenable number.

1100101001221 is a deficient number, since it is larger than the sum of its proper divisors (11006260883).

1100101001221 is a wasteful number, since it uses less digits than its factorization.

1100101001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119431.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1100101001221 its reverse (1221001010011), we get a palindrome (2321102011232).

The spelling of 1100101001221 in words is "one trillion, one hundred billion, one hundred one million, one thousand, two hundred twenty-one".