10032101200109 has 2 divisors, whose sum is σ = 10032101200110. Its totient is φ = 10032101200108.

The previous prime is 10032101200097. The next prime is 10032101200117. The reversal of 10032101200109 is 90100210123001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8399111126884 + 1632990073225 = 2898122^2 + 1277885^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10032101200109 is a prime.

It is a super-2 number, since 2×10032101200109² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10032101200159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5016050600054 + 5016050600055.

It is an arithmetic number, because the mean of its divisors is an integer number (5016050600055).

Almost surely, 2^{10032101200109} is an apocalyptic number.

It is an amenable number.

10032101200109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10032101200109 is an equidigital number, since it uses as much as digits as its factorization.

10032101200109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 20.

The spelling of 10032101200109 in words is "ten trillion, thirty-two billion, one hundred one million, two hundred thousand, one hundred nine".