1011011221 has 16 divisors (see below), whose sum is σ = 1115674560. Its totient is φ = 908513280.

The previous prime is 1011011189. The next prime is 1011011231. The reversal of 1011011221 is 1221101101.

1011011221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1011011221 - 2⁵ = 1011011189 is a prime.

It is a super-3 number, since 3×1011011221³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1011011198 and 1011011207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011011231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 904555 + ... + 905671.

It is an arithmetic number, because the mean of its divisors is an integer number (69729660).

Almost surely, 2^1011011221 is an apocalyptic number.

1011011221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1011011221 is a deficient number, since it is larger than the sum of its proper divisors (104663339).

1011011221 is a wasteful number, since it uses less digits than its factorization.

1011011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004.

The product of its (nonzero) digits is 4, while the sum is 10.

The square root of 1011011221 is about 31796.4026424374. The cubic root of 1011011221 is about 1003.6570169245.

Adding to 1011011221 its reverse (1221101101), we get a palindrome (2232112322).

It can be divided in two parts, 101101 and 1221, that multiplied together give a palindrome (123444321).

The spelling of 1011011221 in words is "one billion, eleven million, eleven thousand, two hundred twenty-one".