400101 has 8 divisors (see below), whose sum is σ = 574560. Its totient is φ = 246192.

The previous prime is 400093. The next prime is 400109. The reversal of 400101 is 101004.

It is an interprime number because it is at equal distance from previous prime (400093) and next prime (400109).

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

It is not a de Polignac number, because 400101 - 2³ = 400093 is a prime.

400101 is a modest number, since divided by 101 gives 40 as remainder.

400101 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 400101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400109) 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, 5091 + ... + 5168.

It is an arithmetic number, because the mean of its divisors is an integer number (71820).

2⁴⁰⁰¹⁰¹ is an apocalyptic number.

It is an amenable number.

400101 is a deficient number, since it is larger than the sum of its proper divisors (174459).

400101 is a wasteful number, since it uses less digits than its factorization.

400101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10275.

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 400101 is about 632.5353745049. The cubic root of 400101 is about 73.6868309039.

Adding to 400101 its reverse (101004), we get a palindrome (501105).

The spelling of 400101 in words is "four hundred thousand, one hundred one", and thus it is an iban number.