1010042321 has 2 divisors, whose sum is σ = 1010042322. Its totient is φ = 1010042320.

The previous prime is 1010042311. The next prime is 1010042329. The reversal of 1010042321 is 1232400101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 941814721 + 68227600 = 30689^2 + 8260^2 .

It is an emirp because it is prime and its reverse (1232400101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1010042321 is a prime.

It is a super-2 number, since 2×1010042321² = 2040370980422134082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1010042296 and 1010042305.

It is not a weakly prime, because it can be changed into another prime (1010042329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505021160 + 505021161.

It is an arithmetic number, because the mean of its divisors is an integer number (505021161).

Almost surely, 2^1010042321 is an apocalyptic number.

It is an amenable number.

1010042321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010042321 is an equidigital number, since it uses as much as digits as its factorization.

1010042321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1010042321 is about 31781.1629900481. The cubic root of 1010042321 is about 1003.3362970765.

Adding to 1010042321 its reverse (1232400101), we get a palindrome (2242442422).

The spelling of 1010042321 in words is "one billion, ten million, forty-two thousand, three hundred twenty-one".