100102312323 has 32 divisors (see below), whose sum is σ = 161120796480. Its totient is φ = 61056253440.

The previous prime is 100102312301. The next prime is 100102312391. The reversal of 100102312323 is 323213201001.

100102312323 is a `hidden beast` number, since 100 + 10 + 231 + 2 + 323 = 666.

It is not a de Polignac number, because 100102312323 - 2¹⁴ = 100102295939 is a prime.

It is a super-3 number, since 3×100102312323³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 100102312296 and 100102312305.

It is not an unprimeable number, because it can be changed into a prime (100102312393) 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, 1222248 + ... + 1301573.

It is an arithmetic number, because the mean of its divisors is an integer number (5035024890).

Almost surely, 2^100102312323 is an apocalyptic number.

100102312323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100102312323 is a deficient number, since it is larger than the sum of its proper divisors (61018484157).

100102312323 is a wasteful number, since it uses less digits than its factorization.

100102312323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2523956 (or 2523950 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100102312323 its reverse (323213201001), we get a palindrome (423315513324).

The spelling of 100102312323 in words is "one hundred billion, one hundred two million, three hundred twelve thousand, three hundred twenty-three".