1001100321000 has 768 divisors, whose sum is σ = 3756762434880. Its totient is φ = 238878720000.

The previous prime is 1001100320993. The next prime is 1001100321029. The reversal of 1001100321000 is 1230011001.

It can be written as a sum of positive squares in 32 ways, for example, as 912166345476 + 88933975524 = 955074^2 + 298218^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 868256424 + ... + 868257576.

Almost surely, 2^{1001100321000} is an apocalyptic number.

1001100321000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001100321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878381217440).

1001100321000 is an abundant number, since it is smaller than the sum of its proper divisors (2755662113880).

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

1001100321000 is a wasteful number, since it uses less digits than its factorization.

1001100321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1398 counting only the distinct ones).

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

Adding to 1001100321000 its reverse (1230011001), we get a palindrome (1002330332001).

The spelling of 1001100321000 in words is "one trillion, one billion, one hundred million, three hundred twenty-one thousand".