10100001009971 has 2 divisors, whose sum is σ = 10100001009972. Its totient is φ = 10100001009970.

The previous prime is 10100001009949. The next prime is 10100001010003. The reversal of 10100001009971 is 17990010000101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10100001009971 - 2¹⁰ = 10100001008947 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100001009941) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050000504985 + 5050000504986.

It is an arithmetic number, because the mean of its divisors is an integer number (5050000504986).

Almost surely, 2^{10100001009971} is an apocalyptic number.

10100001009971 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100001009971 is an equidigital number, since it uses as much as digits as its factorization.

10100001009971 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 29.

The spelling of 10100001009971 in words is "ten trillion, one hundred billion, one million, nine thousand, nine hundred seventy-one".