1001020001020 has 192 divisors, whose sum is σ = 2401446942720. Its totient is φ = 347713293312.

The previous prime is 1001020000993. The next prime is 1001020001021. The reversal of 1001020001020 is 201000201001.

It is a junction number, because it is equal to n+sod(n) for n = 1001020000994 and 1001020001012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001020001021) 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 63 ways as a sum of consecutive naturals, for example, 113657457 + ... + 113666263.

It is an arithmetic number, because the mean of its divisors is an integer number (12507536160).

Almost surely, 2^{1001020001020} is an apocalyptic number.

1001020001020 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 1001020001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200723471360).

1001020001020 is an abundant number, since it is smaller than the sum of its proper divisors (1400426941700).

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

1001020001020 is a wasteful number, since it uses less digits than its factorization.

1001020001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9164 (or 9162 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1001020001020 its reverse (201000201001), we get a palindrome (1202020202021).

The spelling of 1001020001020 in words is "one trillion, one billion, twenty million, one thousand, twenty".