10001001107963 has 2 divisors, whose sum is σ = 10001001107964. Its totient is φ = 10001001107962.

The previous prime is 10001001107953. The next prime is 10001001107971. The reversal of 10001001107963 is 36970110010001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10001001107963 - 2⁴ = 10001001107947 is a prime.

It is a super-2 number, since 2×10001001107963² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10001001107953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000500553981 + 5000500553982.

It is an arithmetic number, because the mean of its divisors is an integer number (5000500553982).

Almost surely, 2^{10001001107963} is an apocalyptic number.

10001001107963 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001001107963 is an equidigital number, since it uses as much as digits as its factorization.

10001001107963 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 29.

Adding to 10001001107963 its reverse (36970110010001), we get a palindrome (46971111117964).

The spelling of 10001001107963 in words is "ten trillion, one billion, one million, one hundred seven thousand, nine hundred sixty-three".