1002001020100 has 18 divisors (see below), whose sum is σ = 2174342213834. Its totient is φ = 400800408000.

The previous prime is 1002001020047. The next prime is 1002001020133. The reversal of 1002001020100 is 10201002001.

1002001020100 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 3 ways, for example, as 2624922756 + 999376097344 = 51234^2 + 999688^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5010005001 + ... + 5010005200.

Almost surely, 2^{1002001020100} is an apocalyptic number.

1002001020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002001020100 is an abundant number, since it is smaller than the sum of its proper divisors (1172341193734).

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

1002001020100 is a wasteful number, since it uses less digits than its factorization.

1002001020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10020010215 (or 10020010208 counting only the distinct ones).

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

Adding to 1002001020100 its reverse (10201002001), we get a palindrome (1012202022101).

The spelling of 1002001020100 in words is "one trillion, two billion, one million, twenty thousand, one hundred".