10100120103 has 12 divisors (see below), whose sum is σ = 14983361848. Its totient is φ = 6551429040.

The previous prime is 10100120083. The next prime is 10100120117. The reversal of 10100120103 is 30102100101.

It is not a de Polignac number, because 10100120103 - 2¹⁶ = 10100054567 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100125103) 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, 15165013 + ... + 15165678.

Almost surely, 2^10100120103 is an apocalyptic number.

10100120103 is a deficient number, since it is larger than the sum of its proper divisors (4883241745).

10100120103 is a wasteful number, since it uses less digits than its factorization.

10100120103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30330734 (or 30330731 counting only the distinct ones).

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

Adding to 10100120103 its reverse (30102100101), we get a palindrome (40202220204).

It can be divided in two parts, 101001 and 20103, that added together give a square (121104 = 348²).

The spelling of 10100120103 in words is "ten billion, one hundred million, one hundred twenty thousand, one hundred three".