10100001084727 has 2 divisors, whose sum is σ = 10100001084728. Its totient is φ = 10100001084726.

The previous prime is 10100001084713. The next prime is 10100001084737. The reversal of 10100001084727 is 72748010000101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10100001084727 - 2³⁵ = 10065641346359 is a prime.

It is a super-2 number, since 2×10100001084727² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100001084707) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050000542363 + 5050000542364.

It is an arithmetic number, because the mean of its divisors is an integer number (5050000542364).

Almost surely, 2^{10100001084727} is an apocalyptic number.

10100001084727 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100001084727 is an equidigital number, since it uses as much as digits as its factorization.

10100001084727 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3136, while the sum is 31.

Adding to 10100001084727 its reverse (72748010000101), we get a palindrome (82848011084828).

The spelling of 10100001084727 in words is "ten trillion, one hundred billion, one million, eighty-four thousand, seven hundred twenty-seven".