100301222102123 has 16 divisors (see below), whose sum is σ = 116510896825344. Its totient is φ = 84561821868960.

The previous prime is 100301222102119. The next prime is 100301222102129. The reversal of 100301222102123 is 321201222103001.

It is a cyclic number.

It is not a de Polignac number, because 100301222102123 - 2² = 100301222102119 is a prime.

It is a super-2 number, since 2×100301222102123² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100301222102095 and 100301222102104.

It is not an unprimeable number, because it can be changed into a prime (100301222102129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27275786 + ... + 30733872.

It is an arithmetic number, because the mean of its divisors is an integer number (7281931051584).

Almost surely, 2^{100301222102123} is an apocalyptic number.

100301222102123 is a deficient number, since it is larger than the sum of its proper divisors (16209674723221).

100301222102123 is an equidigital number, since it uses as much as digits as its factorization.

100301222102123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3526082.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 100301222102123 its reverse (321201222103001), we get a palindrome (421502444205124).

The spelling of 100301222102123 in words is "one hundred trillion, three hundred one billion, two hundred twenty-two million, one hundred two thousand, one hundred twenty-three".