100212101220112 has 80 divisors (see below), whose sum is σ = 247316906240640. Its totient is φ = 38294230616064.

The previous prime is 100212101220073. The next prime is 100212101220137. The reversal of 100212101220112 is 211022101212001.

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

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 15 ways as a sum of consecutive naturals, for example, 1385027143 + ... + 1385099494.

It is an arithmetic number, because the mean of its divisors is an integer number (3091461328008).

Almost surely, 2^{100212101220112} is an apocalyptic number.

It is an amenable number.

100212101220112 is an abundant number, since it is smaller than the sum of its proper divisors (147104805020528).

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

100212101220112 is a wasteful number, since it uses less digits than its factorization.

100212101220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770126688 (or 2770126682 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100212101220112 its reverse (211022101212001), we get a palindrome (311234202432113).

The spelling of 100212101220112 in words is "one hundred trillion, two hundred twelve billion, one hundred one million, two hundred twenty thousand, one hundred twelve".