100002111201 has 6 divisors (see below), whose sum is σ = 144447493970. Its totient is φ = 66668074128.

The previous prime is 100002111173. The next prime is 100002111229. The reversal of 100002111201 is 102111200001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100002111173) and next prime (100002111229).

It can be written as a sum of positive squares in only one way, i.e., 75997256976 + 24004854225 = 275676^2 + 154935^2 .

It is not a de Polignac number, because 100002111201 - 2¹³ = 100002103009 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: 11111345689 = 100002111201 / (1 + 0 + 0 + 0 + 0 + 2 + 1 + 1 + 1 + 2 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100002111901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5555672836 + ... + 5555672853.

Almost surely, 2^100002111201 is an apocalyptic number.

It is an amenable number.

100002111201 is a deficient number, since it is larger than the sum of its proper divisors (44445382769).

100002111201 is a wasteful number, since it uses less digits than its factorization.

100002111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11111345695 (or 11111345692 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100002111201 its reverse (102111200001), we get a palindrome (202113311202).

The spelling of 100002111201 in words is "one hundred billion, two million, one hundred eleven thousand, two hundred one".