100212020010112 has 32 divisors (see below), whose sum is σ = 201472703675100. Its totient is φ = 49646321832960.

The previous prime is 100212020010101. The next prime is 100212020010169. The reversal of 100212020010112 is 211010020212001.

It can be written as a sum of positive squares in 2 ways, for example, as 95934502587456 + 4277517422656 = 9794616^2 + 2068216^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 100212020010092 and 100212020010101.

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, 3591299839 + ... + 3591327742.

Almost surely, 2^{100212020010112} is an apocalyptic number.

It is an amenable number.

100212020010112 is an abundant number, since it is smaller than the sum of its proper divisors (101260683664988).

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

100212020010112 is an equidigital number, since it uses as much as digits as its factorization.

100212020010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7182627704 (or 7182627692 counting only the distinct ones).

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

Adding to 100212020010112 its reverse (211010020212001), we get a palindrome (311222040222113).

The spelling of 100212020010112 in words is "one hundred trillion, two hundred twelve billion, twenty million, ten thousand, one hundred twelve".