10202101102109 has 12 divisors (see below), whose sum is σ = 11869917407964. Its totient is φ = 8743061242944.

The previous prime is 10202101102093. The next prime is 10202101102129. The reversal of 10202101102109 is 90120110120201.

It can be written as a sum of positive squares in 2 ways, for example, as 9587829202084 + 614271900025 = 3096422^2 + 783755^2 .

It is not a de Polignac number, because 10202101102109 - 2⁴ = 10202101102093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202101102129) 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 in 11 ways as a sum of consecutive naturals, for example, 18738944 + ... + 19275689.

It is an arithmetic number, because the mean of its divisors is an integer number (989159783997).

Almost surely, 2^{10202101102109} is an apocalyptic number.

It is an amenable number.

10202101102109 is a deficient number, since it is larger than the sum of its proper divisors (1667816305855).

10202101102109 is an equidigital number, since it uses as much as digits as its factorization.

10202101102109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38020124 (or 38020117 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 10202101102109 in words is "ten trillion, two hundred two billion, one hundred one million, one hundred two thousand, one hundred nine".