100302203002212 has 144 divisors (see below), whose sum is σ = 257995676418480. Its totient is φ = 32852795526144.

The previous prime is 100302203002139. The next prime is 100302203002231. The reversal of 100302203002212 is 212200302203001.

100302203002212 is a `hidden beast` number, since 10 + 0 + 302 + 20 + 300 + 22 + 12 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 983917189476 + 99318285812736 = 991926^2 + 9965856^2 .

It is a super-3 number, since 3×100302203002212³ (a number of 43 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269318158 + ... + 269690330.

It is an arithmetic number, because the mean of its divisors is an integer number (1791636641795).

Almost surely, 2^{100302203002212} is an apocalyptic number.

100302203002212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100302203002212 is an abundant number, since it is smaller than the sum of its proper divisors (157693473416268).

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

100302203002212 is a wasteful number, since it uses less digits than its factorization.

100302203002212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372862 (or 372857 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100302203002212 its reverse (212200302203001), we get a palindrome (312502505205213).

The spelling of 100302203002212 in words is "one hundred trillion, three hundred two billion, two hundred three million, two thousand, two hundred twelve".