1002004434101 has 24 divisors (see below), whose sum is σ = 1169603957760. Its totient is φ = 855333198720.

The previous prime is 1002004434091. The next prime is 1002004434127. The reversal of 1002004434101 is 1014344002001.

1002004434101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1002004434101 - 2¹⁰ = 1002004433077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002004434701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1668725 + ... + 2188298.

It is an arithmetic number, because the mean of its divisors is an integer number (48733498240).

Almost surely, 2^{1002004434101} is an apocalyptic number.

1002004434101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002004434101 is a deficient number, since it is larger than the sum of its proper divisors (167599523659).

1002004434101 is a wasteful number, since it uses less digits than its factorization.

1002004434101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3857177 (or 3857166 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1002004434101 its reverse (1014344002001), we get a palindrome (2016348436102).

The spelling of 1002004434101 in words is "one trillion, two billion, four million, four hundred thirty-four thousand, one hundred one".