1010223030321 has 48 divisors (see below), whose sum is σ = 1488660048720. Its totient is φ = 660041625600.

The previous prime is 1010223030259. The next prime is 1010223030407. The reversal of 1010223030321 is 1230303220101.

1010223030321 is a `hidden beast` number, since 10 + 10 + 22 + 303 + 0 + 321 = 666.

1010223030321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 10183029921 + 1000040000400 = 100911^2 + 1000020^2 .

It is not a de Polignac number, because 1010223030321 - 2¹⁰ = 1010223029297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010223030294 and 1010223030303.

It is not an unprimeable number, because it can be changed into a prime (1010223030221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83091975 + ... + 83104131.

It is an arithmetic number, because the mean of its divisors is an integer number (31013751015).

Almost surely, 2^{1010223030321} is an apocalyptic number.

It is an amenable number.

1010223030321 is a deficient number, since it is larger than the sum of its proper divisors (478437018399).

1010223030321 is a wasteful number, since it uses less digits than its factorization.

1010223030321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13186 (or 13183 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1010223030321 its reverse (1230303220101), we get a palindrome (2240526250422).

The spelling of 1010223030321 in words is "one trillion, ten billion, two hundred twenty-three million, thirty thousand, three hundred twenty-one".