100100827 has 2 divisors, whose sum is σ = 100100828. Its totient is φ = 100100826.

The previous prime is 100100789. The next prime is 100100849. The reversal of 100100827 is 728001001.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100100827 is a prime.

It is a super-3 number, since 3×100100827³ (a number of 25 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (100100857) 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 as a sum of consecutive naturals, namely, 50050413 + 50050414.

It is an arithmetic number, because the mean of its divisors is an integer number (50050414).

Almost surely, 2^100100827 is an apocalyptic number.

100100827 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100827 is an equidigital number, since it uses as much as digits as its factorization.

100100827 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 100100827 is about 10005.0400798797. The cubic root of 100100827 is about 464.3148301200.

Adding to 100100827 its reverse (728001001), we get a palindrome (828101828).

The spelling of 100100827 in words is "one hundred million, one hundred thousand, eight hundred twenty-seven".