10100000001071 has 2 divisors, whose sum is σ = 10100000001072. Its totient is φ = 10100000001070.

The previous prime is 10100000000941. The next prime is 10100000001101. The reversal of 10100000001071 is 17010000000101.

It is a strong prime.

It is an emirp because it is prime and its reverse (17010000000101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10100000001071 - 2¹⁴ = 10099999984687 is a prime.

It is a super-2 number, since 2×10100000001071² (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 (10100000021071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050000000535 + 5050000000536.

It is an arithmetic number, because the mean of its divisors is an integer number (5050000000536).

Almost surely, 2^{10100000001071} is an apocalyptic number.

10100000001071 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100000001071 is an equidigital number, since it uses as much as digits as its factorization.

10100000001071 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7, while the sum is 11.

Adding to 10100000001071 its reverse (17010000000101), we get a palindrome (27110000001172).

The spelling of 10100000001071 in words is "ten trillion, one hundred billion, one thousand, seventy-one".