100401201 has 30 divisors (see below), whose sum is σ = 159360630. Its totient is φ = 62982144.

The previous prime is 100401193. The next prime is 100401221. The reversal of 100401201 is 102104001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 67223601 + 33177600 = 8199^2 + 5760^2 .

It is not a de Polignac number, because 100401201 - 2³ = 100401193 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 (100401221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 21265 + ... + 25553.

It is an arithmetic number, because the mean of its divisors is an integer number (5312021).

Almost surely, 2^100401201 is an apocalyptic number.

It is an amenable number.

100401201 is a deficient number, since it is larger than the sum of its proper divisors (58959429).

100401201 is an equidigital number, since it uses as much as digits as its factorization.

100401201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4335 (or 4309 counting only the distinct ones).

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

The square root of 100401201 is about 10020.0399699802. The cubic root of 100401201 is about 464.7787917666.

Adding to 100401201 its reverse (102104001), we get a palindrome (202505202).

The spelling of 100401201 in words is "one hundred million, four hundred one thousand, two hundred one".