100002200200101 has 12 divisors (see below), whose sum is σ = 147970735255980. Its totient is φ = 65042081430720.

The previous prime is 100002200200093. The next prime is 100002200200129. The reversal of 100002200200101 is 101002002200001.

It can be written as a sum of positive squares in 2 ways, for example, as 50598311336001 + 49403888864100 = 7113249^2 + 7028790^2 .

It is not a de Polignac number, because 100002200200101 - 2³ = 100002200200093 is a prime.

It is a super-2 number, since 2×100002200200101² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002200200601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135504335946 + ... + 135504336683.

It is an arithmetic number, because the mean of its divisors is an integer number (12330894604665).

Almost surely, 2^{100002200200101} is an apocalyptic number.

It is an amenable number.

100002200200101 is a deficient number, since it is larger than the sum of its proper divisors (47968535055879).

100002200200101 is a wasteful number, since it uses less digits than its factorization.

100002200200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271008672676 (or 271008672673 counting only the distinct ones).

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

Adding to 100002200200101 its reverse (101002002200001), we get a palindrome (201004202400102).

The spelling of 100002200200101 in words is "one hundred trillion, two billion, two hundred million, two hundred thousand, one hundred one".