100122310321 has 8 divisors (see below), whose sum is σ = 113973223104. Its totient is φ = 87062878320.

The previous prime is 100122310307. The next prime is 100122310333. The reversal of 100122310321 is 123013221001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100122310321 - 2²⁷ = 99988092593 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100122310295 and 100122310304.

It is not an unprimeable number, because it can be changed into a prime (100122310721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 197869926 + ... + 197870431.

It is an arithmetic number, because the mean of its divisors is an integer number (14246652888).

Almost surely, 2^100122310321 is an apocalyptic number.

100122310321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100122310321 is a deficient number, since it is larger than the sum of its proper divisors (13850912783).

100122310321 is a wasteful number, since it uses less digits than its factorization.

100122310321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395740391.

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

Adding to 100122310321 its reverse (123013221001), we get a palindrome (223135531322).

It can be divided in two parts, 1001 and 22310321, that added together give a palindrome (22311322).

The spelling of 100122310321 in words is "one hundred billion, one hundred twenty-two million, three hundred ten thousand, three hundred twenty-one".