101400209 has 2 divisors, whose sum is σ = 101400210. Its totient is φ = 101400208.

The previous prime is 101400203. The next prime is 101400227. The reversal of 101400209 is 902004101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56550400 + 44849809 = 7520^2 + 6697^2 .

It is a cyclic number.

It is not a de Polignac number, because 101400209 - 2⁸ = 101399953 is a prime.

It is not a weakly prime, because it can be changed into another prime (101400203) 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, 50700104 + 50700105.

It is an arithmetic number, because the mean of its divisors is an integer number (50700105).

Almost surely, 2^101400209 is an apocalyptic number.

It is an amenable number.

101400209 is a deficient number, since it is larger than the sum of its proper divisors (1).

101400209 is an equidigital number, since it uses as much as digits as its factorization.

101400209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 101400209 is about 10069.7670777432. The cubic root of 101400209 is about 466.3152480760.

The spelling of 101400209 in words is "one hundred one million, four hundred thousand, two hundred nine".