1011001110221 has 8 divisors (see below), whose sum is σ = 1060190113080. Its totient is φ = 962767233792.

The previous prime is 1011001110167. The next prime is 1011001110257. The reversal of 1011001110221 is 1220111001101.

It can be written as a sum of positive squares in 4 ways, for example, as 452506454596 + 558494655625 = 672686^2 + 747325^2 .

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 1011001110221 - 2⁶ = 1011001110157 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011061110221) 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 7 ways as a sum of consecutive naturals, for example, 238779440 + ... + 238783673.

It is an arithmetic number, because the mean of its divisors is an integer number (132523764135).

Almost surely, 2^{1011001110221} is an apocalyptic number.

It is an amenable number.

1011001110221 is a deficient number, since it is larger than the sum of its proper divisors (49189002859).

1011001110221 is an equidigital number, since it uses as much as digits as its factorization.

1011001110221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477563215.

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

Adding to 1011001110221 its reverse (1220111001101), we get a palindrome (2231112111322).

The spelling of 1011001110221 in words is "one trillion, eleven billion, one million, one hundred ten thousand, two hundred twenty-one".