1120211101121 has 16 divisors (see below), whose sum is σ = 1300390564608. Its totient is φ = 945178872000.

The previous prime is 1120211101111. The next prime is 1120211101123. The reversal of 1120211101121 is 1211011120211.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1120211101121 is a prime.

It is a super-2 number, since 2×1120211101121² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1120211101096 and 1120211101105.

It is not an unprimeable number, because it can be changed into a prime (1120211101123) 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, 4457045 + ... + 4701666.

It is an arithmetic number, because the mean of its divisors is an integer number (81274410288).

Almost surely, 2^{1120211101121} is an apocalyptic number.

It is an amenable number.

1120211101121 is a deficient number, since it is larger than the sum of its proper divisors (180179463487).

1120211101121 is a wasteful number, since it uses less digits than its factorization.

1120211101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9158992.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1120211101121 its reverse (1211011120211), we get a palindrome (2331222221332).

The spelling of 1120211101121 in words is "one trillion, one hundred twenty billion, two hundred eleven million, one hundred one thousand, one hundred twenty-one".