1011611305221 has 16 divisors (see below), whose sum is σ = 1535410045440. Its totient is φ = 586441335920.

The previous prime is 1011611305213. The next prime is 1011611305223. The reversal of 1011611305221 is 1225031161101.

It is not a de Polignac number, because 1011611305221 - 2³ = 1011611305213 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1011611305191 and 1011611305200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011611305223) 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 15 ways as a sum of consecutive naturals, for example, 666409851 + ... + 666411368.

It is an arithmetic number, because the mean of its divisors is an integer number (95963127840).

Almost surely, 2^{1011611305221} is an apocalyptic number.

1011611305221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1011611305221 is a deficient number, since it is larger than the sum of its proper divisors (523798740219).

1011611305221 is a wasteful number, since it uses less digits than its factorization.

1011611305221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332821256.

The product of its (nonzero) digits is 360, while the sum is 24.

Adding to 1011611305221 its reverse (1225031161101), we get a palindrome (2236642466322).

The spelling of 1011611305221 in words is "one trillion, eleven billion, six hundred eleven million, three hundred five thousand, two hundred twenty-one".