10001101019971 has 2 divisors, whose sum is σ = 10001101019972. Its totient is φ = 10001101019970.

The previous prime is 10001101019953. The next prime is 10001101020067. The reversal of 10001101019971 is 17991010110001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10001101019971 - 2⁵ = 10001101019939 is a prime.

It is a super-2 number, since 2×10001101019971² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10001101019911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000550509985 + 5000550509986.

It is an arithmetic number, because the mean of its divisors is an integer number (5000550509986).

Almost surely, 2^{10001101019971} is an apocalyptic number.

10001101019971 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001101019971 is an equidigital number, since it uses as much as digits as its factorization.

10001101019971 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567, while the sum is 31.

Adding to 10001101019971 its reverse (17991010110001), we get a palindrome (27992111129972).

The spelling of 10001101019971 in words is "ten trillion, one billion, one hundred one million, nineteen thousand, nine hundred seventy-one".