100212102002221 has 12 divisors (see below), whose sum is σ = 110207008957500. Its totient is φ = 91055167797440.

The previous prime is 100212102002203. The next prime is 100212102002291. The reversal of 100212102002221 is 122200201212001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 84480455255625 + 15731646746596 = 9191325^2 + 3966314^2 .

It is not a de Polignac number, because 100212102002221 - 2⁹ = 100212102001709 is a prime.

It is a super-4 number, since 4×100212102002221⁴ (a number of 57 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100212102002195 and 100212102002204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212102002291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 212231896 + ... + 212703553.

It is an arithmetic number, because the mean of its divisors is an integer number (9183917413125).

Almost surely, 2^{100212102002221} is an apocalyptic number.

100212102002221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100212102002221 is a deficient number, since it is larger than the sum of its proper divisors (9994906955279).

100212102002221 is a wasteful number, since it uses less digits than its factorization.

100212102002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424937420 (or 424937409 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100212102002221 its reverse (122200201212001), we get a palindrome (222412303214222).

The spelling of 100212102002221 in words is "one hundred trillion, two hundred twelve billion, one hundred two million, two thousand, two hundred twenty-one".