10120817971 has 8 divisors (see below), whose sum is σ = 11088280944. Its totient is φ = 9161253120.

The previous prime is 10120817957. The next prime is 10120817983. The reversal of 10120817971 is 17971802101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10120817971 - 2⁵ = 10120817939 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10120817971.

It is not an unprimeable number, because it can be changed into a prime (10120817911) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1971846 + ... + 1976971.

It is an arithmetic number, because the mean of its divisors is an integer number (1386035118).

Almost surely, 2^10120817971 is an apocalyptic number.

10120817971 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10120817971 is a deficient number, since it is larger than the sum of its proper divisors (967462973).

10120817971 is a wasteful number, since it uses less digits than its factorization.

10120817971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3949061.

The product of its (nonzero) digits is 7056, while the sum is 37.

The spelling of 10120817971 in words is "ten billion, one hundred twenty million, eight hundred seventeen thousand, nine hundred seventy-one".