100002201002101 has 16 divisors (see below), whose sum is σ = 101042416166400. Its totient is φ = 98962977960000.

The previous prime is 100002201002083. The next prime is 100002201002129. The reversal of 100002201002101 is 101200102200001.

It is a cyclic number.

It is not a de Polignac number, because 100002201002101 - 2¹⁹ = 100002200477813 is a prime.

It is a super-2 number, since 2×100002201002101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002201002141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2718984330 + ... + 2719021108.

It is an arithmetic number, because the mean of its divisors is an integer number (6315151010400).

Almost surely, 2^{100002201002101} is an apocalyptic number.

It is an amenable number.

100002201002101 is a deficient number, since it is larger than the sum of its proper divisors (1040215164299).

100002201002101 is a wasteful number, since it uses less digits than its factorization.

100002201002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49500.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100002201002101 its reverse (101200102200001), we get a palindrome (201202303202102).

The spelling of 100002201002101 in words is "one hundred trillion, two billion, two hundred one million, two thousand, one hundred one".