100122203001312 has 72 divisors (see below), whose sum is σ = 299707910316360. Its totient is φ = 31617537788160.

The previous prime is 100122203001287. The next prime is 100122203001329. The reversal of 100122203001312 is 213100302221001.

100122203001312 is a `hidden beast` number, since 1 + 0 + 0 + 12 + 220 + 300 + 131 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9148587639 + ... + 9148598582.

It is an arithmetic number, because the mean of its divisors is an integer number (4162609865505).

Almost surely, 2^{100122203001312} is an apocalyptic number.

100122203001312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100122203001312 is an abundant number, since it is smaller than the sum of its proper divisors (199585707315048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100122203001312 is a wasteful number, since it uses less digits than its factorization.

100122203001312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18297186256 (or 18297186245 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100122203001312 its reverse (213100302221001), we get a palindrome (313222505222313).

The spelling of 100122203001312 in words is "one hundred trillion, one hundred twenty-two billion, two hundred three million, one thousand, three hundred twelve".