1220102121121 has 16 divisors (see below), whose sum is σ = 1327796720208. Its totient is φ = 1114398720000.

The previous prime is 1220102121097. The next prime is 1220102121143. The reversal of 1220102121121 is 1211212010221.

It can be written as a sum of positive squares in 8 ways, for example, as 641102874721 + 578999246400 = 800689^2 + 760920^2 .

It is a cyclic number.

It is not a de Polignac number, because 1220102121121 - 2⁵ = 1220102121089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1220102121095 and 1220102121104.

It is not an unprimeable number, because it can be changed into a prime (1220102121191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1811905 + ... + 2392321.

It is an arithmetic number, because the mean of its divisors is an integer number (82987295013).

Almost surely, 2^{1220102121121} is an apocalyptic number.

It is an amenable number.

1220102121121 is a deficient number, since it is larger than the sum of its proper divisors (107694599087).

1220102121121 is a wasteful number, since it uses less digits than its factorization.

1220102121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582132.

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

Adding to 1220102121121 its reverse (1211212010221), we get a palindrome (2431314131342).

The spelling of 1220102121121 in words is "one trillion, two hundred twenty billion, one hundred two million, one hundred twenty-one thousand, one hundred twenty-one".