1002000101000 has 32 divisors (see below), whose sum is σ = 2344680238680. Its totient is φ = 400800040000.

The previous prime is 1002000100949. The next prime is 1002000101017. The reversal of 1002000101000 is 1010002001.

It is a happy number.

1002000101000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 511044835876 + 490955265124 = 714874^2 + 700682^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 500999051 + ... + 501001050.

Almost surely, 2^{1002000101000} is an apocalyptic number.

1002000101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002000101000 is an abundant number, since it is smaller than the sum of its proper divisors (1342680137680).

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

1002000101000 is a wasteful number, since it uses less digits than its factorization.

1002000101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002000122 (or 1002000108 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 1002000101000 its reverse (1010002001), we get a palindrome (1003010103001).

The spelling of 1002000101000 in words is "one trillion, two billion, one hundred one thousand".