1021001002000 has 160 divisors (see below), whose sum is σ = 2829607822080. Its totient is φ = 349047014400.

The previous prime is 1021001001967. The next prime is 1021001002003. The reversal of 1021001002000 is 2001001201.

1021001002000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (1021001002003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4752916 + ... + 4963084.

It is an arithmetic number, because the mean of its divisors is an integer number (17685048888).

Almost surely, 2^{1021001002000} is an apocalyptic number.

1021001002000 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 1021001002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414803911040).

1021001002000 is an abundant number, since it is smaller than the sum of its proper divisors (1808606820080).

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

1021001002000 is a wasteful number, since it uses less digits than its factorization.

1021001002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210546 (or 210530 counting only the distinct ones).

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

Adding to 1021001002000 its reverse (2001001201), we get a palindrome (1023002003201).

The spelling of 1021001002000 in words is "one trillion, twenty-one billion, one million, two thousand".