100301222102133 has 16 divisors (see below), whose sum is σ = 145156301244416. Its totient is φ = 61237814581440.

The previous prime is 100301222102129. The next prime is 100301222102233. The reversal of 100301222102133 is 331201222103001.

It is not a de Polignac number, because 100301222102133 - 2² = 100301222102129 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100301222102113) 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, 10125295078 + ... + 10125304983.

It is an arithmetic number, because the mean of its divisors is an integer number (9072268827776).

Almost surely, 2^{100301222102133} is an apocalyptic number.

100301222102133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100301222102133 is a deficient number, since it is larger than the sum of its proper divisors (44855079142283).

100301222102133 is a wasteful number, since it uses less digits than its factorization.

100301222102133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20250600204.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 100301222102133 its reverse (331201222103001), we get a palindrome (431502444205134).

The spelling of 100301222102133 in words is "one hundred trillion, three hundred one billion, two hundred twenty-two million, one hundred two thousand, one hundred thirty-three".