400101001 has 8 divisors (see below), whose sum is σ = 433969704. Its totient is φ = 367380480.

The previous prime is 400100971. The next prime is 400101047. The reversal of 400101001 is 100101004.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11971600 + 388129401 = 3460^2 + 19701^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 400101001 - 2⁵ = 400100969 is a prime.

It is a super-2 number, since 2×400101001² = 320161622002404002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (400101301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 286320 + ... + 287713.

It is an arithmetic number, because the mean of its divisors is an integer number (54246213).

Almost surely, 2^400101001 is an apocalyptic number.

400101001 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

400101001 is a deficient number, since it is larger than the sum of its proper divisors (33868703).

400101001 is a wasteful number, since it uses less digits than its factorization.

400101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574091.

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 400101001 is about 20002.5248656263. The cubic root of 400101001 is about 736.8683096534.

Adding to 400101001 its reverse (100101004), we get a palindrome (500202005).

The spelling of 400101001 in words is "four hundred million, one hundred one thousand, one".