100123212102003 has 32 divisors (see below), whose sum is σ = 150271859545920. Its totient is φ = 65879448940800.

The previous prime is 100123212101947. The next prime is 100123212102091. The reversal of 100123212102003 is 300201212321001.

100123212102003 is a `hidden beast` number, since 100 + 12 + 321 + 210 + 20 + 0 + 3 = 666.

It is not a de Polignac number, because 100123212102003 - 2²⁰ = 100123211053427 is a prime.

It is a super-2 number, since 2×100123212102003² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100123312102003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57046450 + ... + 58775367.

It is an arithmetic number, because the mean of its divisors is an integer number (4695995610810).

Almost surely, 2^{100123212102003} is an apocalyptic number.

100123212102003 is a deficient number, since it is larger than the sum of its proper divisors (50148647443917).

100123212102003 is a wasteful number, since it uses less digits than its factorization.

100123212102003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115822244 (or 115822238 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100123212102003 its reverse (300201212321001), we get a palindrome (400324424423004).

The spelling of 100123212102003 in words is "one hundred trillion, one hundred twenty-three billion, two hundred twelve million, one hundred two thousand, three".