10000101001103 has 16 divisors (see below), whose sum is σ = 10598312761344. Its totient is φ = 9403001212800.

The previous prime is 10000101001097. The next prime is 10000101001133. The reversal of 10000101001103 is 30110010100001.

It is not a de Polignac number, because 10000101001103 - 2¹⁰ = 10000101000079 is a prime.

It is a super-2 number, since 2×10000101001103² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000101001133) 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 in 15 ways as a sum of consecutive naturals, for example, 80036426 + ... + 80161272.

It is an arithmetic number, because the mean of its divisors is an integer number (662394547584).

Almost surely, 2^{10000101001103} is an apocalyptic number.

10000101001103 is a deficient number, since it is larger than the sum of its proper divisors (598211760241).

10000101001103 is a wasteful number, since it uses less digits than its factorization.

10000101001103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129262.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 10000101001103 its reverse (30110010100001), we get a palindrome (40110111101104).

The spelling of 10000101001103 in words is "ten trillion, one hundred one million, one thousand, one hundred three".