415202101 has 8 divisors (see below), whose sum is σ = 439855704. Its totient is φ = 390574080.

The previous prime is 415202083. The next prime is 415202111. The reversal of 415202101 is 101202514.

It can be written as a sum of positive squares in 4 ways, for example, as 169026001 + 246176100 = 13001^2 + 15690^2 .

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 415202101 - 2⁷ = 415201973 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 (415202111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34581 + ... + 45013.

It is an arithmetic number, because the mean of its divisors is an integer number (54981963).

Almost surely, 2^415202101 is an apocalyptic number.

It is an amenable number.

415202101 is a deficient number, since it is larger than the sum of its proper divisors (24653603).

415202101 is a wasteful number, since it uses less digits than its factorization.

415202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12791.

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 415202101 is about 20376.5085576504. The cubic root of 415202101 is about 746.0246555592.

Adding to 415202101 its reverse (101202514), we get a palindrome (516404615).

The spelling of 415202101 in words is "four hundred fifteen million, two hundred two thousand, one hundred one".