10011002010003 has 12 divisors (see below), whose sum is σ = 14463005743368. Its totient is φ = 6672769260000.

The previous prime is 10011002009963. The next prime is 10011002010007. The reversal of 10011002010003 is 30001020011001.

It is not a de Polignac number, because 10011002010003 - 2²⁶ = 10010934901139 is a prime.

It is a super-2 number, since 2×10011002010003² (a number of 27 digits) contains 22 as substring.

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 (10011002010007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102621873 + ... + 102719378.

It is an arithmetic number, because the mean of its divisors is an integer number (1205250478614).

Almost surely, 2^{10011002010003} is an apocalyptic number.

10011002010003 is a deficient number, since it is larger than the sum of its proper divisors (4452003733365).

10011002010003 is a wasteful number, since it uses less digits than its factorization.

10011002010003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205346674 (or 205346671 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10011002010003 its reverse (30001020011001), we get a palindrome (40012022021004).

It can be divided in two parts, 1001100 and 2010003, that added together give a palindrome (3011103).

The spelling of 10011002010003 in words is "ten trillion, eleven billion, two million, ten thousand, three".