10100101110003 has 32 divisors (see below), whose sum is σ = 15039530438400. Its totient is φ = 6699054241728.

The previous prime is 10100101109999. The next prime is 10100101110017. The reversal of 10100101110003 is 30001110100101.

It is not a de Polignac number, because 10100101110003 - 2² = 10100101109999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10100101110083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8207868 + ... + 9357846.

It is an arithmetic number, because the mean of its divisors is an integer number (469985326200).

Almost surely, 2^{10100101110003} is an apocalyptic number.

10100101110003 is a deficient number, since it is larger than the sum of its proper divisors (4939429328397).

10100101110003 is a wasteful number, since it uses less digits than its factorization.

10100101110003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151648 (or 1151642 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 10100101110003 its reverse (30001110100101), we get a palindrome (40101211210104).

The spelling of 10100101110003 in words is "ten trillion, one hundred billion, one hundred one million, one hundred ten thousand, three".