10200101 has 2 divisors, whose sum is σ = 10200102. Its totient is φ = 10200100.

The previous prime is 10200089. The next prime is 10200107. The reversal of 10200101 is 10100201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5997601 + 4202500 = 2449^2 + 2050^2 .

It is an emirp because it is prime and its reverse (10100201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10200101 - 2⁶ = 10200037 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10200107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100050 + 5100051.

It is an arithmetic number, because the mean of its divisors is an integer number (5100051).

Almost surely, 2^10200101 is an apocalyptic number.

It is an amenable number.

10200101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200101 is an equidigital number, since it uses as much as digits as its factorization.

10200101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 10200101 is about 3193.7596966585. The cubic root of 10200101 is about 216.8710043364.

Adding to 10200101 its reverse (10100201), we get a palindrome (20300302).

Multiplying 10200101 by its reverse (10100201), we get a palindrome (103023070320301).

It can be divided in two parts, 10200 and 101, that added together give a palindrome (10301).

The spelling of 10200101 in words is "ten million, two hundred thousand, one hundred one".