100002002201001 has 24 divisors (see below), whose sum is σ = 144889451572320. Its totient is φ = 66463964265600.

The previous prime is 100002002200939. The next prime is 100002002201011. The reversal of 100002002201001 is 100102200200001.

It is not a de Polignac number, because 100002002201001 - 2⁶ = 100002002200937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100002002201011) 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, 76330810 + ... + 77629868.

It is an arithmetic number, because the mean of its divisors is an integer number (6037060482180).

Almost surely, 2^{100002002201001} is an apocalyptic number.

It is an amenable number.

100002002201001 is a deficient number, since it is larger than the sum of its proper divisors (44887449371319).

100002002201001 is a wasteful number, since it uses less digits than its factorization.

100002002201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325237 (or 1325234 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100002002201001 its reverse (100102200200001), we get a palindrome (200104202401002).

The spelling of 100002002201001 in words is "one hundred trillion, two billion, two million, two hundred one thousand, one".