1001110021000 has 32 divisors (see below), whose sum is σ = 2342597451480. Its totient is φ = 400444008000.

The previous prime is 1001110020961. The next prime is 1001110021007. The reversal of 1001110021000 is 1200111001.

It can be written as a sum of positive squares in 4 ways, for example, as 248404553604 + 752705467396 = 498402^2 + 867586^2 .

It is not an unprimeable number, because it can be changed into a prime (1001110021007) 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 7 ways as a sum of consecutive naturals, for example, 500554011 + ... + 500556010.

Almost surely, 2^{1001110021000} is an apocalyptic number.

1001110021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001110021000 is an abundant number, since it is smaller than the sum of its proper divisors (1341487430480).

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

1001110021000 is a wasteful number, since it uses less digits than its factorization.

1001110021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001110042 (or 1001110028 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1001110021000 its reverse (1200111001), we get a palindrome (1002310132001).

Subtracting from 1001110021000 its reverse (1200111001), we obtain a palindrome (999909909999).

The spelling of 1001110021000 in words is "one trillion, one billion, one hundred ten million, twenty-one thousand".