1011312221 has 8 divisors (see below), whose sum is σ = 1066771200. Its totient is φ = 956076480.

The previous prime is 1011312193. The next prime is 1011312223. The reversal of 1011312221 is 1222131101.

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 1011312221 - 2²⁶ = 944203357 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011312196 and 1011312205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011312223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46460 + ... + 64661.

It is an arithmetic number, because the mean of its divisors is an integer number (133346400).

Almost surely, 2^1011312221 is an apocalyptic number.

It is an amenable number.

1011312221 is a deficient number, since it is larger than the sum of its proper divisors (55458979).

1011312221 is a wasteful number, since it uses less digits than its factorization.

1011312221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111619.

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 1011312221 is about 31801.1355300404. The cubic root of 1011312221 is about 1003.7566105393.

Adding to 1011312221 its reverse (1222131101), we get a palindrome (2233443322).

The spelling of 1011312221 in words is "one billion, eleven million, three hundred twelve thousand, two hundred twenty-one".