1010011221011 has 8 divisors (see below), whose sum is σ = 1087861060944. Its totient is φ = 932183762400.

The previous prime is 1010011221001. The next prime is 1010011221013. The reversal of 1010011221011 is 1101221100101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1010011221011 - 2²⁶ = 1009944112147 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1010011220983 and 1010011221001.

It is not an unprimeable number, because it can be changed into a prime (1010011221013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5501540 + ... + 5682161.

It is an arithmetic number, because the mean of its divisors is an integer number (135982632618).

Almost surely, 2^{1010011221011} is an apocalyptic number.

1010011221011 is a deficient number, since it is larger than the sum of its proper divisors (77849839933).

1010011221011 is a wasteful number, since it uses less digits than its factorization.

1010011221011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11190661.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1010011221011 its reverse (1101221100101), we get a palindrome (2111232321112).

The spelling of 1010011221011 in words is "one trillion, ten billion, eleven million, two hundred twenty-one thousand, eleven".