1100101201221 has 32 divisors (see below), whose sum is σ = 1603029542400. Its totient is φ = 665527625280.

The previous prime is 1100101201169. The next prime is 1100101201231. The reversal of 1100101201221 is 1221021010011.

It is not a de Polignac number, because 1100101201221 - 2¹⁰ = 1100101200197 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1100101201197 and 1100101201206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100101201231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136501890 + ... + 136509948.

It is an arithmetic number, because the mean of its divisors is an integer number (50094673200).

Almost surely, 2^{1100101201221} is an apocalyptic number.

1100101201221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100101201221 is a deficient number, since it is larger than the sum of its proper divisors (502928341179).

1100101201221 is a wasteful number, since it uses less digits than its factorization.

1100101201221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15009.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1100101201221 its reverse (1221021010011), we get a palindrome (2321122211232).

The spelling of 1100101201221 in words is "one trillion, one hundred billion, one hundred one million, two hundred one thousand, two hundred twenty-one".