100412113 has 2 divisors, whose sum is σ = 100412114. Its totient is φ = 100412112.

The previous prime is 100412107. The next prime is 100412171. The reversal of 100412113 is 311214001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100340289 + 71824 = 10017^2 + 268^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100412113 is a prime.

It is a super-3 number, since 3×100412113³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100412093 and 100412102.

It is not a weakly prime, because it can be changed into another prime (100482113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50206056 + 50206057.

It is an arithmetic number, because the mean of its divisors is an integer number (50206057).

Almost surely, 2^100412113 is an apocalyptic number.

It is an amenable number.

100412113 is a deficient number, since it is larger than the sum of its proper divisors (1).

100412113 is an equidigital number, since it uses as much as digits as its factorization.

100412113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 100412113 is about 10020.5844639921. The cubic root of 100412113 is about 464.7956291563.

Adding to 100412113 its reverse (311214001), we get a palindrome (411626114).

The spelling of 100412113 in words is "one hundred million, four hundred twelve thousand, one hundred thirteen".