100220122220021 has 16 divisors (see below), whose sum is σ = 105802730550000. Its totient is φ = 94799246040576.

The previous prime is 100220122219991. The next prime is 100220122220027. The reversal of 100220122220021 is 120022221022001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 472263081796 + 99747859138225 = 687214^2 + 9987385^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100220122220021 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100220122220027) 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 15 ways as a sum of consecutive naturals, for example, 177837746 + ... + 178400403.

It is an arithmetic number, because the mean of its divisors is an integer number (6612670659375).

Almost surely, 2^{100220122220021} is an apocalyptic number.

It is an amenable number.

100220122220021 is a deficient number, since it is larger than the sum of its proper divisors (5582608329979).

100220122220021 is a wasteful number, since it uses less digits than its factorization.

100220122220021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356238376.

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

Adding to 100220122220021 its reverse (120022221022001), we get a palindrome (220242343242022).

The spelling of 100220122220021 in words is "one hundred trillion, two hundred twenty billion, one hundred twenty-two million, two hundred twenty thousand, twenty-one".