10100004006971 has 8 divisors (see below), whose sum is σ = 10694163720240. Its totient is φ = 9505848941568.

The previous prime is 10100004006949. The next prime is 10100004006979. The reversal of 10100004006971 is 17960040000101.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100004006971 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100004006979) 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, 3956075 + ... + 5987531.

It is an arithmetic number, because the mean of its divisors is an integer number (1336770465030).

Almost surely, 2^{10100004006971} is an apocalyptic number.

10100004006971 is a deficient number, since it is larger than the sum of its proper divisors (594159713269).

10100004006971 is a wasteful number, since it uses less digits than its factorization.

10100004006971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323933.

The product of its (nonzero) digits is 1512, while the sum is 29.

The spelling of 10100004006971 in words is "ten trillion, one hundred billion, four million, six thousand, nine hundred seventy-one".