1001321010 has 96 divisors (see below), whose sum is σ = 2684139120. Its totient is φ = 258799104.

The previous prime is 1001321003. The next prime is 1001321021. The reversal of 1001321010 is 101231001.

It can be written as a sum of positive squares in 8 ways, for example, as 262731681 + 738589329 = 16209^2 + 27177^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1001320983 and 1001321001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1294984 + ... + 1295756.

Almost surely, 2^1001321010 is an apocalyptic number.

1001321010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001321010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342069560).

1001321010 is an abundant number, since it is smaller than the sum of its proper divisors (1682818110).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001321010 is a wasteful number, since it uses less digits than its factorization.

1001321010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1209 counting only the distinct ones).

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

The square root of 1001321010 is about 31643.6567103108. The cubic root of 1001321010 is about 1000.4401429125.

Adding to 1001321010 its reverse (101231001), we get a palindrome (1102552011).

Subtracting from 1001321010 its reverse (101231001), we obtain a palindrome (900090009).

The spelling of 1001321010 in words is "one billion, one million, three hundred twenty-one thousand, ten".