1010256221 has 16 divisors (see below), whose sum is σ = 1103195184. Its totient is φ = 919586304.

The previous prime is 1010256193. The next prime is 1010256223. The reversal of 1010256221 is 1226520101.

It can be written as a sum of positive squares in 8 ways, for example, as 359292025 + 650964196 = 18955^2 + 25514^2 .

It is not a de Polignac number, because 1010256221 - 2²⁶ = 943147357 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010256193 and 1010256202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010256223) 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 15 ways as a sum of consecutive naturals, for example, 277811 + ... + 281423.

It is an arithmetic number, because the mean of its divisors is an integer number (68949699).

Almost surely, 2^1010256221 is an apocalyptic number.

It is an amenable number.

1010256221 is a deficient number, since it is larger than the sum of its proper divisors (92938963).

1010256221 is a wasteful number, since it uses less digits than its factorization.

1010256221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3920.

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 1010256221 is about 31784.5280128556. The cubic root of 1010256221 is about 1003.4071186918.

Adding to 1010256221 its reverse (1226520101), we get a palindrome (2236776322).

The spelling of 1010256221 in words is "one billion, ten million, two hundred fifty-six thousand, two hundred twenty-one".