1220100011121 has 16 divisors (see below), whose sum is σ = 1731661761600. Its totient is φ = 761931168768.

The previous prime is 1220100011093. The next prime is 1220100011153. The reversal of 1220100011121 is 1211100010221.

It is not a de Polignac number, because 1220100011121 - 2¹⁰ = 1220100010097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1220100011097 and 1220100011106.

It is not an unprimeable number, because it can be changed into a prime (1220100031121) 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, 120249216 + ... + 120259361.

It is an arithmetic number, because the mean of its divisors is an integer number (108228860100).

Almost surely, 2^{1220100011121} is an apocalyptic number.

It is an amenable number.

1220100011121 is a deficient number, since it is larger than the sum of its proper divisors (511561750479).

1220100011121 is a wasteful number, since it uses less digits than its factorization.

1220100011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240508688.

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

Adding to 1220100011121 its reverse (1211100010221), we get a palindrome (2431200021342).

The spelling of 1220100011121 in words is "one trillion, two hundred twenty billion, one hundred million, eleven thousand, one hundred twenty-one".