1102221220001 has 24 divisors (see below), whose sum is σ = 1283661813672. Its totient is φ = 942442688000.

The previous prime is 1102221219973. The next prime is 1102221220049. The reversal of 1102221220001 is 1000221222011.

It can be written as a sum of positive squares in 4 ways, for example, as 898978941025 + 203242278976 = 948145^2 + 450824^2 .

It is not a de Polignac number, because 1102221220001 - 2¹⁰ = 1102221218977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1102221220601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2891651 + ... + 3250551.

It is an arithmetic number, because the mean of its divisors is an integer number (53485908903).

Almost surely, 2^{1102221220001} is an apocalyptic number.

1102221220001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1102221220001 is a deficient number, since it is larger than the sum of its proper divisors (181440593671).

1102221220001 is a wasteful number, since it uses less digits than its factorization.

1102221220001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360433 (or 360422 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1102221220001 its reverse (1000221222011), we get a palindrome (2102442442012).

The spelling of 1102221220001 in words is "one trillion, one hundred two billion, two hundred twenty-one million, two hundred twenty thousand, one".