400100101 has 8 divisors (see below), whose sum is σ = 405699840. Its totient is φ = 394533552.

The previous prime is 400100033. The next prime is 400100171. The reversal of 400100101 is 101001004.

It is a happy number.

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

It is not a de Polignac number, because 400100101 - 2¹⁵ = 400067333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400100171) 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, 16491 + ... + 32743.

It is an arithmetic number, because the mean of its divisors is an integer number (50712480).

Almost surely, 2^400100101 is an apocalyptic number.

It is an amenable number.

400100101 is a deficient number, since it is larger than the sum of its proper divisors (5599739).

400100101 is a wasteful number, since it uses less digits than its factorization.

400100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16595.

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

The square root of 400100101 is about 20002.5023684538. The cubic root of 400100101 is about 736.8677571412.

Adding to 400100101 its reverse (101001004), we get a palindrome (501101105).

The spelling of 400100101 in words is "four hundred million, one hundred thousand, one hundred one".