10101002101109 has 2 divisors, whose sum is σ = 10101002101110. Its totient is φ = 10101002101108.

The previous prime is 10101002101067. The next prime is 10101002101121. The reversal of 10101002101109 is 90110120010101.

It is a happy number.

10101002101109 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8057774858884 + 2043227242225 = 2838622^2 + 1429415^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10101002101109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101002101409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050501050554 + 5050501050555.

It is an arithmetic number, because the mean of its divisors is an integer number (5050501050555).

Almost surely, 2^{10101002101109} is an apocalyptic number.

It is an amenable number.

10101002101109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101002101109 is an equidigital number, since it uses as much as digits as its factorization.

10101002101109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 17.

The spelling of 10101002101109 in words is "ten trillion, one hundred one billion, two million, one hundred one thousand, one hundred nine".