1001020104000 has 672 divisors, whose sum is σ = 4102088230656. Its totient is φ = 228260966400.

The previous prime is 1001020103987. The next prime is 1001020104041. The reversal of 1001020104000 is 4010201001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1001020104000² (a number of 25 digits) contains 22 as substring.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 235365874 + ... + 235370126.

Almost surely, 2^{1001020104000} is an apocalyptic number.

1001020104000 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 1001020104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051044115328).

1001020104000 is an abundant number, since it is smaller than the sum of its proper divisors (3101068126656).

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

1001020104000 is a wasteful number, since it uses less digits than its factorization.

1001020104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4760 (or 4737 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1001020104000 its reverse (4010201001), we get a palindrome (1005030305001).

The spelling of 1001020104000 in words is "one trillion, one billion, twenty million, one hundred four thousand".