100122103003 has 8 divisors (see below), whose sum is σ = 108039890000. Its totient is φ = 92235185568.

The previous prime is 100122102959. The next prime is 100122103021. The reversal of 100122103003 is 300301221001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100122103003 - 2¹⁷ = 100121971931 is a prime.

It is a super-3 number, since 3×100122103003³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100122103063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7710648 + ... + 7723621.

It is an arithmetic number, because the mean of its divisors is an integer number (13504986250).

Almost surely, 2^100122103003 is an apocalyptic number.

100122103003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100122103003 is a deficient number, since it is larger than the sum of its proper divisors (7917786997).

100122103003 is a wasteful number, since it uses less digits than its factorization.

100122103003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15434781.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 100122103003 its reverse (300301221001), we get a palindrome (400423324004).

The spelling of 100122103003 in words is "one hundred billion, one hundred twenty-two million, one hundred three thousand, three".