100110012201 has 12 divisors (see below), whose sum is σ = 146973898500. Its totient is φ = 65645909280.

The previous prime is 100110012181. The next prime is 100110012239. The reversal of 100110012201 is 102210011001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20721314601 + 79388697600 = 143949^2 + 281760^2 .

It is not a de Polignac number, because 100110012201 - 2¹⁵ = 100109979433 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 (100110012241) 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 11 ways as a sum of consecutive naturals, for example, 91174326 + ... + 91175423.

It is an arithmetic number, because the mean of its divisors is an integer number (12247824875).

Almost surely, 2^100110012201 is an apocalyptic number.

It is an amenable number.

100110012201 is a deficient number, since it is larger than the sum of its proper divisors (46863886299).

100110012201 is a wasteful number, since it uses less digits than its factorization.

100110012201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182349816 (or 182349813 counting only the distinct ones).

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

Adding to 100110012201 its reverse (102210011001), we get a palindrome (202320023202).

The spelling of 100110012201 in words is "one hundred billion, one hundred ten million, twelve thousand, two hundred one".