100122201 has 12 divisors (see below), whose sum is σ = 146603028. Its totient is φ = 65833344.

The previous prime is 100122179. The next prime is 100122221. The reversal of 100122201 is 102221001.

It can be written as a sum of positive squares in 2 ways, for example, as 79655625 + 20466576 = 8925^2 + 4524^2 .

It is not a de Polignac number, because 100122201 - 2¹⁵ = 100089433 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100122221) 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, 75540 + ... + 76853.

It is an arithmetic number, because the mean of its divisors is an integer number (12216919).

Almost surely, 2^100122201 is an apocalyptic number.

It is an amenable number.

100122201 is a deficient number, since it is larger than the sum of its proper divisors (46480827).

100122201 is a wasteful number, since it uses less digits than its factorization.

100122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152472 (or 152469 counting only the distinct ones).

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

The square root of 100122201 is about 10006.1081845041. The cubic root of 100122201 is about 464.3478753312.

Adding to 100122201 its reverse (102221001), we get a palindrome (202343202).

The spelling of 100122201 in words is "one hundred million, one hundred twenty-two thousand, two hundred one".