1102222101121 has 8 divisors (see below), whose sum is σ = 1129228403688. Its totient is φ = 1075221648000.

The previous prime is 1102222101073. The next prime is 1102222101143. The reversal of 1102222101121 is 1211012222011.

It can be written as a sum of positive squares in 4 ways, for example, as 381312425025 + 720909676096 = 617505^2 + 849064^2 .

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 1102222101121 - 2²⁵ = 1102188546689 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1102222101095 and 1102222101104.

It is not an unprimeable number, because it can be changed into a prime (1102222101191) 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 7 ways as a sum of consecutive naturals, for example, 1079670 + ... + 1835791.

It is an arithmetic number, because the mean of its divisors is an integer number (141153550461).

Almost surely, 2^{1102222101121} is an apocalyptic number.

It is an amenable number.

1102222101121 is a deficient number, since it is larger than the sum of its proper divisors (27006302567).

1102222101121 is an equidigital number, since it uses as much as digits as its factorization.

1102222101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2924723.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1102222101121 its reverse (1211012222011), we get a palindrome (2313234323132).

The spelling of 1102222101121 in words is "one trillion, one hundred two billion, two hundred twenty-two million, one hundred one thousand, one hundred twenty-one".