100101210321 has 32 divisors (see below), whose sum is σ = 153306869760. Its totient is φ = 56911857984.

The previous prime is 100101210311. The next prime is 100101210343. The reversal of 100101210321 is 123012101001.

It is not a de Polignac number, because 100101210321 - 2¹⁴ = 100101193937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100101210297 and 100101210306.

It is not an unprimeable number, because it can be changed into a prime (100101210301) 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, 4567636 + ... + 4589498.

It is an arithmetic number, because the mean of its divisors is an integer number (4790839680).

Almost surely, 2^100101210321 is an apocalyptic number.

It is an amenable number.

100101210321 is a deficient number, since it is larger than the sum of its proper divisors (53205659439).

100101210321 is a wasteful number, since it uses less digits than its factorization.

100101210321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22965.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 100101210321 its reverse (123012101001), we get a palindrome (223113311322).

The spelling of 100101210321 in words is "one hundred billion, one hundred one million, two hundred ten thousand, three hundred twenty-one".