100120202202221 has 8 divisors (see below), whose sum is σ = 100324513718520. Its totient is φ = 99916094287872.

The previous prime is 100120202202211. The next prime is 100120202202271. The reversal of 100120202202221 is 122202202021001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8763672122500 + 91356530079721 = 2960350^2 + 9558061^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100120202202221 - 2³⁰ = 100119128460397 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100120202202221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120202202211) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 49915976 + ... + 51882993.

It is an arithmetic number, because the mean of its divisors is an integer number (12540564214815).

Almost surely, 2^{100120202202221} is an apocalyptic number.

It is an amenable number.

100120202202221 is a deficient number, since it is larger than the sum of its proper divisors (204311516299).

100120202202221 is a wasteful number, since it uses less digits than its factorization.

100120202202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101800975.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 100120202202221 its reverse (122202202021001), we get a palindrome (222322404223222).

The spelling of 100120202202221 in words is "one hundred trillion, one hundred twenty billion, two hundred two million, two hundred two thousand, two hundred twenty-one".