100021100202221 has 16 divisors (see below), whose sum is σ = 112935668005440. Its totient is φ = 87746777556480.

The previous prime is 100021100202193. The next prime is 100021100202229. The reversal of 100021100202221 is 122202001120001.

It is a cyclic number.

It is not a de Polignac number, because 100021100202221 - 2⁶ = 100021100202157 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100021100202196 and 100021100202205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021100202229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81600836 + ... + 82817501.

It is an arithmetic number, because the mean of its divisors is an integer number (7058479250340).

Almost surely, 2^{100021100202221} is an apocalyptic number.

100021100202221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100021100202221 is a deficient number, since it is larger than the sum of its proper divisors (12914567803219).

100021100202221 is a wasteful number, since it uses less digits than its factorization.

100021100202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164420284.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100021100202221 its reverse (122202001120001), we get a palindrome (222223101322222).

The spelling of 100021100202221 in words is "one hundred trillion, twenty-one billion, one hundred million, two hundred two thousand, two hundred twenty-one".