412000101 has 20 divisors (see below), whose sum is σ = 623896812. Its totient is φ = 270900288.

The previous prime is 412000097. The next prime is 412000159. The reversal of 412000101 is 101000214.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 83448225 + 328551876 = 9135^2 + 18126^2 .

It is not a de Polignac number, because 412000101 - 2² = 412000097 is a prime.

It is a super-3 number, since 3×412000101³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412000181) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28926 + ... + 40751.

Almost surely, 2^412000101 is an apocalyptic number.

It is an amenable number.

412000101 is a deficient number, since it is larger than the sum of its proper divisors (211896711).

412000101 is an equidigital number, since it uses as much as digits as its factorization.

412000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69762 (or 69753 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 412000101 is about 20297.7856181407. The cubic root of 412000101 is about 744.1019468781.

Adding to 412000101 its reverse (101000214), we get a palindrome (513000315).

The spelling of 412000101 in words is "four hundred twelve million, one hundred one", and thus it is an aban number.