400202101 has 16 divisors (see below), whose sum is σ = 444077424. Its totient is φ = 358262784.

The previous prime is 400202081. The next prime is 400202129. The reversal of 400202101 is 101202004.

It can be written as a sum of positive squares in 8 ways, for example, as 13883076 + 386319025 = 3726^2 + 19655^2 .

It is a cyclic number.

It is not a de Polignac number, because 400202101 - 2⁵ = 400202069 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 (400202141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168615 + ... + 170971.

It is an arithmetic number, because the mean of its divisors is an integer number (27754839).

Almost surely, 2^400202101 is an apocalyptic number.

It is an amenable number.

400202101 is a deficient number, since it is larger than the sum of its proper divisors (43875323).

400202101 is a wasteful number, since it uses less digits than its factorization.

400202101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760.

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 400202101 is about 20005.0518869610. The cubic root of 400202101 is about 736.9303699098.

Adding to 400202101 its reverse (101202004), we get a palindrome (501404105).

The spelling of 400202101 in words is "four hundred million, two hundred two thousand, one hundred one".