1002003010101 has 6 divisors (see below), whose sum is σ = 1447337681270. Its totient is φ = 668002006728.

The previous prime is 1002003010067. The next prime is 1002003010103. The reversal of 1002003010101 is 1010103002001.

It can be written as a sum of positive squares in only one way, i.e., 1002003002001 + 8100 = 1001001^2 + 90^2 .

It is not a de Polignac number, because 1002003010101 - 2¹⁷ = 1002002879029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 111333667789 = 1002003010101 / (1 + 0 + 0 + 2 + 0 + 0 + 3 + 0 + 1 + 0 + 1 + 0 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002003010103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55666833886 + ... + 55666833903.

Almost surely, 2^{1002003010101} is an apocalyptic number.

It is an amenable number.

1002003010101 is a deficient number, since it is larger than the sum of its proper divisors (445334671169).

1002003010101 is a wasteful number, since it uses less digits than its factorization.

1002003010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111333667795 (or 111333667792 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1002003010101 its reverse (1010103002001), we get a palindrome (2012106012102).

The spelling of 1002003010101 in words is "one trillion, two billion, three million, ten thousand, one hundred one".