1011120211121 has 2 divisors, whose sum is σ = 1011120211122. Its totient is φ = 1011120211120.

The previous prime is 1011120211069. The next prime is 1011120211147. The reversal of 1011120211121 is 1211120211101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 765912026896 + 245208184225 = 875164^2 + 495185^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1011120211121 is a prime.

It is a super-3 number, since 3×1011120211121³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1011120211096 and 1011120211105.

It is not a weakly prime, because it can be changed into another prime (1011120211021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505560105560 + 505560105561.

It is an arithmetic number, because the mean of its divisors is an integer number (505560105561).

Almost surely, 2^{1011120211121} is an apocalyptic number.

It is an amenable number.

1011120211121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011120211121 is an equidigital number, since it uses as much as digits as its factorization.

1011120211121 is an odious number, because the sum of its binary digits is odd.

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

Adding to 1011120211121 its reverse (1211120211101), we get a palindrome (2222240422222).

The spelling of 1011120211121 in words is "one trillion, eleven billion, one hundred twenty million, two hundred eleven thousand, one hundred twenty-one".