100312223002100 has 18 divisors (see below), whose sum is σ = 217677523914774. Its totient is φ = 40124889200800.

The previous prime is 100312223002073. The next prime is 100312223002111. The reversal of 100312223002100 is 1200322213001.

It can be written as a sum of positive squares in 3 ways, for example, as 76163856484 + 100236059145616 = 275978^2 + 10011796^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 501561114911 + ... + 501561115110.

It is an arithmetic number, because the mean of its divisors is an integer number (12093195773043).

Almost surely, 2^{100312223002100} is an apocalyptic number.

100312223002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100312223002100 is an abundant number, since it is smaller than the sum of its proper divisors (117365300912674).

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

100312223002100 is a wasteful number, since it uses less digits than its factorization.

100312223002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003122230035 (or 1003122230028 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 100312223002100 its reverse (1200322213001), we get a palindrome (101512545215101).

The spelling of 100312223002100 in words is "one hundred trillion, three hundred twelve billion, two hundred twenty-three million, two thousand, one hundred".