1000101321 has 12 divisors (see below), whose sum is σ = 1445574000. Its totient is φ = 666280440.

The previous prime is 1000101317. The next prime is 1000101343. The reversal of 1000101321 is 1231010001.

It is not a de Polignac number, because 1000101321 - 2² = 1000101317 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1000101371) 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 11 ways as a sum of consecutive naturals, for example, 23575 + ... + 50556.

It is an arithmetic number, because the mean of its divisors is an integer number (120464500).

Almost surely, 2^1000101321 is an apocalyptic number.

It is an amenable number.

1000101321 is a deficient number, since it is larger than the sum of its proper divisors (445472679).

1000101321 is a wasteful number, since it uses less digits than its factorization.

1000101321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75636 (or 75633 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1000101321 is about 31624.3785867802. The cubic root of 1000101321 is about 1000.0337725261.

Adding to 1000101321 its reverse (1231010001), we get a palindrome (2231111322).

The spelling of 1000101321 in words is "one billion, one hundred one thousand, three hundred twenty-one".