10010100011003 has 16 divisors (see below), whose sum is σ = 10092993392640. Its totient is φ = 9927437436000.

The previous prime is 10010100010997. The next prime is 10010100011063. The reversal of 10010100011003 is 30011000101001.

It is a cyclic number.

It is not a de Polignac number, because 10010100011003 - 2¹⁰ = 10010100009979 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10010100011063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260450198 + ... + 260488628.

It is an arithmetic number, because the mean of its divisors is an integer number (630812087040).

Almost surely, 2^{10010100011003} is an apocalyptic number.

10010100011003 is a deficient number, since it is larger than the sum of its proper divisors (82893381637).

10010100011003 is a wasteful number, since it uses less digits than its factorization.

10010100011003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41378.

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

Adding to 10010100011003 its reverse (30011000101001), we get a palindrome (40021100112004).

The spelling of 10010100011003 in words is "ten trillion, ten billion, one hundred million, eleven thousand, three".