100210012002112 has 28 divisors (see below), whose sum is σ = 199679363935876. Its totient is φ = 49897101404160.

The previous prime is 100210012002101. The next prime is 100210012002143. The reversal of 100210012002112 is 211200210012001.

It can be written as a sum of positive squares in 2 ways, for example, as 55623195945216 + 44586816056896 = 7458096^2 + 6677336^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100210012002092 and 100210012002101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3248493783 + ... + 3248524630.

Almost surely, 2^{100210012002112} is an apocalyptic number.

It is an amenable number.

100210012002112 is a deficient number, since it is larger than the sum of its proper divisors (99469351933764).

100210012002112 is an equidigital number, since it uses as much as digits as its factorization.

100210012002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6497018666 (or 6497018656 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100210012002112 its reverse (211200210012001), we get a palindrome (311410222014113).

The spelling of 100210012002112 in words is "one hundred trillion, two hundred ten billion, twelve million, two thousand, one hundred twelve".