101200109 has 2 divisors, whose sum is σ = 101200110. Its totient is φ = 101200108.

The previous prime is 101200091. The next prime is 101200117. The reversal of 101200109 is 901002101.

Together with previous prime (101200091) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99301225 + 1898884 = 9965^2 + 1378^2 .

It is a cyclic number.

It is not a de Polignac number, because 101200109 - 2¹⁶ = 101134573 is a prime.

It is a super-2 number, since 2×101200109² = 20482924123223762, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 101200093 and 101200102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101200139) 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, 50600054 + 50600055.

It is an arithmetic number, because the mean of its divisors is an integer number (50600055).

Almost surely, 2^101200109 is an apocalyptic number.

It is an amenable number.

101200109 is a deficient number, since it is larger than the sum of its proper divisors (1).

101200109 is an equidigital number, since it uses as much as digits as its factorization.

101200109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

The square root of 101200109 is about 10059.8264895574. The cubic root of 101200109 is about 466.0083087788.

The spelling of 101200109 in words is "one hundred one million, two hundred thousand, one hundred nine".