100100021007321 has 24 divisors (see below), whose sum is σ = 145177070036544. Its totient is φ = 66461937444000.

The previous prime is 100100021007319. The next prime is 100100021007359. The reversal of 100100021007321 is 123700120001001.

It is a happy number.

It is not a de Polignac number, because 100100021007321 - 2¹ = 100100021007319 is a prime.

It is a super-2 number, since 2×100100021007321² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100100021007294 and 100100021007303.

It is not an unprimeable number, because it can be changed into a prime (100100021008321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25350940 + ... + 29032226.

It is an arithmetic number, because the mean of its divisors is an integer number (6049044584856).

Almost surely, 2^{100100021007321} is an apocalyptic number.

It is an amenable number.

100100021007321 is a deficient number, since it is larger than the sum of its proper divisors (45077049029223).

100100021007321 is a wasteful number, since it uses less digits than its factorization.

100100021007321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3693581 (or 3693578 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

Adding to 100100021007321 its reverse (123700120001001), we get a palindrome (223800141008322).

The spelling of 100100021007321 in words is "one hundred trillion, one hundred billion, twenty-one million, seven thousand, three hundred twenty-one".