10003114001106 has 24 divisors (see below), whose sum is σ = 21674256914700. Its totient is φ = 3334241603616.

The previous prime is 10003114000991. The next prime is 10003114001107. The reversal of 10003114001106 is 60110041130001.

It can be written as a sum of positive squares in 2 ways, for example, as 8657664796881 + 1345449204225 = 2942391^2 + 1159935^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10003114001107) 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, 10334781 + ... + 11261168.

Almost surely, 2^{10003114001106} is an apocalyptic number.

10003114001106 is an abundant number, since it is smaller than the sum of its proper divisors (11671142913594).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10003114001106 is a wasteful number, since it uses less digits than its factorization.

10003114001106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21621690 (or 21621687 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10003114001106 its reverse (60110041130001), we get a palindrome (70113155131107).

The spelling of 10003114001106 in words is "ten trillion, three billion, one hundred fourteen million, one thousand, one hundred six".