10100000101003 has 2 divisors, whose sum is σ = 10100000101004. Its totient is φ = 10100000101002.

The previous prime is 10100000100961. The next prime is 10100000101031. The reversal of 10100000101003 is 30010100000101.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100000101003 is a prime.

It is a super-2 number, since 2×10100000101003² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10100000101033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050000050501 + 5050000050502.

It is an arithmetic number, because the mean of its divisors is an integer number (5050000050502).

Almost surely, 2^{10100000101003} is an apocalyptic number.

10100000101003 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100000101003 is an equidigital number, since it uses as much as digits as its factorization.

10100000101003 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 10100000101003 its reverse (30010100000101), we get a palindrome (40110100101104).

The spelling of 10100000101003 in words is "ten trillion, one hundred billion, one hundred one thousand, three".