10000001100103 has 4 divisors (see below), whose sum is σ = 11428572685840. Its totient is φ = 8571429514368.

The previous prime is 10000001100053. The next prime is 10000001100109. The reversal of 10000001100103 is 30100110000001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is not a de Polignac number, because 10000001100103 - 2²⁵ = 9999967545671 is a prime.

It is a super-2 number, since 2×10000001100103² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7), and also a Moran number because the ratio is a prime number: 1428571585729 = 10000001100103 / (1 + 0 + 0 + 0 + 0 + 0 + 0 + 1 + 1 + 0 + 0 + 1 + 0 + 3).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000001100109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 714285792858 + ... + 714285792871.

It is an arithmetic number, because the mean of its divisors is an integer number (2857143171460).

Almost surely, 2^{10000001100103} is an apocalyptic number.

10000001100103 is a deficient number, since it is larger than the sum of its proper divisors (1428571585737).

10000001100103 is an equidigital number, since it uses as much as digits as its factorization.

10000001100103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428571585736.

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 10000001100103 its reverse (30100110000001), we get a palindrome (40100111100104).

The spelling of 10000001100103 in words is "ten trillion, one million, one hundred thousand, one hundred three".