1011121220011 has 32 divisors (see below), whose sum is σ = 1236001536000. Its totient is φ = 825872765760.

The previous prime is 1011121220003. The next prime is 1011121220027. The reversal of 1011121220011 is 1100221211101.

It is a happy number.

It is not a de Polignac number, because 1011121220011 - 2³ = 1011121220003 is a prime.

It is a super-2 number, since 2×1011121220011² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1011121219973 and 1011121220000.

It is not an unprimeable number, because it can be changed into a prime (1011121220051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231331 + ... + 1440748.

It is an arithmetic number, because the mean of its divisors is an integer number (38625048000).

Almost surely, 2^{1011121220011} is an apocalyptic number.

1011121220011 is a deficient number, since it is larger than the sum of its proper divisors (224880315989).

1011121220011 is an equidigital number, since it uses as much as digits as its factorization.

1011121220011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672184 (or 1672170 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1011121220011 its reverse (1100221211101), we get a palindrome (2111342431112).

The spelling of 1011121220011 in words is "one trillion, eleven billion, one hundred twenty-one million, two hundred twenty thousand, eleven".