12827400101 has 8 divisors (see below), whose sum is σ = 13071314304. Its totient is φ = 12583555920.

The previous prime is 12827400083. The next prime is 12827400119. The reversal of 12827400101 is 10100472821.

It is an interprime number because it is at equal distance from previous prime (12827400083) and next prime (12827400119).

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 12827400101 - 2⁶ = 12827400037 is a prime.

It is a super-3 number, since 3×12827400101³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12827400121) 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, 491360 + ... + 516806.

It is an arithmetic number, because the mean of its divisors is an integer number (1633914288).

Almost surely, 2^12827400101 is an apocalyptic number.

It is an amenable number.

12827400101 is a deficient number, since it is larger than the sum of its proper divisors (243914203).

12827400101 is an equidigital number, since it uses as much as digits as its factorization.

12827400101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35011.

The product of its (nonzero) digits is 896, while the sum is 26.

Adding to 12827400101 its reverse (10100472821), we get a palindrome (22927872922).

The spelling of 12827400101 in words is "twelve billion, eight hundred twenty-seven million, four hundred thousand, one hundred one".