10007734067101 has 2 divisors, whose sum is σ = 10007734067102. Its totient is φ = 10007734067100.

The previous prime is 10007734067099. The next prime is 10007734067153. The reversal of 10007734067101 is 10176043770001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9838196828100 + 169537239001 = 3136590^2 + 411749^2 .

It is a cyclic number.

It is not a de Polignac number, because 10007734067101 - 2¹ = 10007734067099 is a prime.

Together with 10007734067099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10007734067171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5003867033550 + 5003867033551.

It is an arithmetic number, because the mean of its divisors is an integer number (5003867033551).

Almost surely, 2^{10007734067101} is an apocalyptic number.

It is an amenable number.

10007734067101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10007734067101 is an equidigital number, since it uses as much as digits as its factorization.

10007734067101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24696, while the sum is 37.

The spelling of 10007734067101 in words is "ten trillion, seven billion, seven hundred thirty-four million, sixty-seven thousand, one hundred one".