1020001002000 has 160 divisors (see below), whose sum is σ = 3289098234240. Its totient is φ = 271949401600.

The previous prime is 1020001001969. The next prime is 1020001002011. The reversal of 1020001002000 is 2001000201.

It is a happy number.

It is a super-3 number, since 3×1020001002000³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1020001002000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40805506 + ... + 40830494.

It is an arithmetic number, because the mean of its divisors is an integer number (20556863964).

Almost surely, 2^{1020001002000} is an apocalyptic number.

1020001002000 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 1020001002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644549117120).

1020001002000 is an abundant number, since it is smaller than the sum of its proper divisors (2269097232240).

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

1020001002000 is a wasteful number, since it uses less digits than its factorization.

1020001002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31818 (or 31802 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 1020001002000 its reverse (2001000201), we get a palindrome (1022002002201).

The spelling of 1020001002000 in words is "one trillion, twenty billion, one million, two thousand".