10101000011003 has 32 divisors (see below), whose sum is σ = 11680950124800. Its totient is φ = 8649273942400.

The previous prime is 10101000010987. The next prime is 10101000011017. The reversal of 10101000011003 is 30011000010101.

It is not a de Polignac number, because 10101000011003 - 2⁴ = 10101000010987 is a prime.

It is a super-2 number, since 2×10101000011003² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10101000011093) 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, 417125 + ... + 4513977.

It is an arithmetic number, because the mean of its divisors is an integer number (365029691400).

Almost surely, 2^{10101000011003} is an apocalyptic number.

10101000011003 is a deficient number, since it is larger than the sum of its proper divisors (1579950113797).

10101000011003 is a wasteful number, since it uses less digits than its factorization.

10101000011003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4097083.

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

Adding to 10101000011003 its reverse (30011000010101), we get a palindrome (40112000021104).

The spelling of 10101000011003 in words is "ten trillion, one hundred one billion, eleven thousand, three".