100322300212000 has 96 divisors (see below), whose sum is σ = 247853727064944. Its totient is φ = 39907213056000.

The previous prime is 100322300211979. The next prime is 100322300212021. The reversal of 100322300212000 is 212003223001.

It is an interprime number because it is at equal distance from previous prime (100322300211979) and next prime (100322300212021).

It can be written as a sum of positive squares in 8 ways, for example, as 7134091424784 + 93188208787216 = 2670972^2 + 9653404^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68559357 + ... + 70007356.

Almost surely, 2^{100322300212000} is an apocalyptic number.

100322300212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100322300212000 is an abundant number, since it is smaller than the sum of its proper divisors (147531426852944).

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

100322300212000 is a wasteful number, since it uses less digits than its factorization.

100322300212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138566919 (or 138566901 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 100322300212000 its reverse (212003223001), we get a palindrome (100534303435001).

The spelling of 100322300212000 in words is "one hundred trillion, three hundred twenty-two billion, three hundred million, two hundred twelve thousand".