100207141 has 2 divisors, whose sum is σ = 100207142. Its totient is φ = 100207140.

The previous prime is 100207139. The next prime is 100207171. The reversal of 100207141 is 141702001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87030241 + 13176900 = 9329^2 + 3630^2 .

It is a cyclic number.

It is not a de Polignac number, because 100207141 - 2¹ = 100207139 is a prime.

It is a super-3 number, since 3×100207141³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 100207139, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100207171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50103570 + 50103571.

It is an arithmetic number, because the mean of its divisors is an integer number (50103571).

Almost surely, 2^100207141 is an apocalyptic number.

It is an amenable number.

100207141 is a deficient number, since it is larger than the sum of its proper divisors (1).

100207141 is an equidigital number, since it uses as much as digits as its factorization.

100207141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 100207141 is about 10010.3516921235. The cubic root of 100207141 is about 464.4791501126.

Adding to 100207141 its reverse (141702001), we get a palindrome (241909142).

It can be divided in two parts, 10020 and 7141, that added together give a square (17161 = 131²).

The spelling of 100207141 in words is "one hundred million, two hundred seven thousand, one hundred forty-one".