1010022444321 has 32 divisors (see below), whose sum is σ = 1534830491520. Its totient is φ = 585174912000.

The previous prime is 1010022444271. The next prime is 1010022444331. The reversal of 1010022444321 is 1234442200101.

It is not a de Polignac number, because 1010022444321 - 2¹⁸ = 1010022182177 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1010022444291 and 1010022444300.

It is not an unprimeable number, because it can be changed into a prime (1010022444331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5128120 + ... + 5321433.

It is an arithmetic number, because the mean of its divisors is an integer number (47963452860).

Almost surely, 2^{1010022444321} is an apocalyptic number.

1010022444321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1010022444321 is a deficient number, since it is larger than the sum of its proper divisors (524808047199).

1010022444321 is a wasteful number, since it uses less digits than its factorization.

1010022444321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10449697.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1010022444321 its reverse (1234442200101), we get a palindrome (2244464644422).

The spelling of 1010022444321 in words is "one trillion, ten billion, twenty-two million, four hundred forty-four thousand, three hundred twenty-one".