10100100101009 has 2 divisors, whose sum is σ = 10100100101010. Its totient is φ = 10100100101008.

The previous prime is 10100100100939. The next prime is 10100100101027. The reversal of 10100100101009 is 90010100100101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8697355960384 + 1402744140625 = 2949128^2 + 1184375^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100100101009 - 2²⁴ = 10100083323793 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100100100984 and 10100100101002.

It is not a weakly prime, because it can be changed into another prime (10100100101089) 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, 5050050050504 + 5050050050505.

It is an arithmetic number, because the mean of its divisors is an integer number (5050050050505).

Almost surely, 2^{10100100101009} is an apocalyptic number.

It is an amenable number.

10100100101009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100100101009 is an equidigital number, since it uses as much as digits as its factorization.

10100100101009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 10100100101009 in words is "ten trillion, one hundred billion, one hundred million, one hundred one thousand, nine".