10000100100071 has 2 divisors, whose sum is σ = 10000100100072. Its totient is φ = 10000100100070.

The previous prime is 10000100100037. The next prime is 10000100100073. The reversal of 10000100100071 is 17000100100001.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10000100100071 is a prime.

It is a super-2 number, since 2×10000100100071² (a number of 27 digits) contains 22 as substring.

Together with 10000100100073, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000100100073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000050050035 + 5000050050036.

It is an arithmetic number, because the mean of its divisors is an integer number (5000050050036).

Almost surely, 2^{10000100100071} is an apocalyptic number.

10000100100071 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000100100071 is an equidigital number, since it uses as much as digits as its factorization.

10000100100071 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 10000100100071 its reverse (17000100100001), we get a palindrome (27000200200072).

The spelling of 10000100100071 in words is "ten trillion, one hundred million, one hundred thousand, seventy-one".