100213122321 has 80 divisors (see below), whose sum is σ = 170072179200. Its totient is φ = 58296298752.

The previous prime is 100213122311. The next prime is 100213122391. The reversal of 100213122321 is 123221312001.

100213122321 is a `hidden beast` number, since 10 + 0 + 21 + 312 + 2 + 321 = 666.

It is not a de Polignac number, because 100213122321 - 2⁶ = 100213122257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100213122294 and 100213122303.

It is not an unprimeable number, because it can be changed into a prime (100213122301) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9578125 + ... + 9588581.

It is an arithmetic number, because the mean of its divisors is an integer number (2125902240).

Almost surely, 2^100213122321 is an apocalyptic number.

It is an amenable number.

100213122321 is a deficient number, since it is larger than the sum of its proper divisors (69859056879).

100213122321 is a wasteful number, since it uses less digits than its factorization.

100213122321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10980 (or 10971 counting only the distinct ones).

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

Adding to 100213122321 its reverse (123221312001), we get a palindrome (223434434322).

The spelling of 100213122321 in words is "one hundred billion, two hundred thirteen million, one hundred twenty-two thousand, three hundred twenty-one".