100123312021 has 16 divisors (see below), whose sum is σ = 102285349488. Its totient is φ = 97986816000.

The previous prime is 100123312001. The next prime is 100123312027. The reversal of 100123312021 is 120213321001.

It can be written as a sum of positive squares in 8 ways, for example, as 8595885796 + 91527426225 = 92714^2 + 302535^2 .

It is a cyclic number.

It is not a de Polignac number, because 100123312021 - 2⁵ = 100123311989 is a prime.

It is a super-2 number, since 2×100123312021² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100123311986 and 100123312004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100123312027) 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 15 ways as a sum of consecutive naturals, for example, 8350851 + ... + 8362831.

It is an arithmetic number, because the mean of its divisors is an integer number (6392834343).

Almost surely, 2^100123312021 is an apocalyptic number.

It is an amenable number.

100123312021 is a deficient number, since it is larger than the sum of its proper divisors (2162037467).

100123312021 is a wasteful number, since it uses less digits than its factorization.

100123312021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13032.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100123312021 its reverse (120213321001), we get a palindrome (220336633022).

The spelling of 100123312021 in words is "one hundred billion, one hundred twenty-three million, three hundred twelve thousand, twenty-one".