100211002002112 has 28 divisors (see below), whose sum is σ = 198865322935056. Its totient is φ = 50103204097280.

The previous prime is 100211002002077. The next prime is 100211002002227. The reversal of 100211002002112 is 211200200112001.

It is a junction number, because it is equal to n+sod(n) for n = 100211002002092 and 100211002002101.

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 3 ways as a sum of consecutive naturals, for example, 34481668 + ... + 37274755.

Almost surely, 2^{100211002002112} is an apocalyptic number.

It is an amenable number.

100211002002112 is a deficient number, since it is larger than the sum of its proper divisors (98654320932944).

100211002002112 is an equidigital number, since it uses as much as digits as its factorization.

100211002002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71778256 (or 71778246 counting only the distinct ones).

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

Adding to 100211002002112 its reverse (211200200112001), we get a palindrome (311411202114113).

The spelling of 100211002002112 in words is "one hundred trillion, two hundred eleven billion, two million, two thousand, one hundred twelve".