100021012202221 has 32 divisors (see below), whose sum is σ = 113420609930880. Its totient is φ = 87412494643200.

The previous prime is 100021012202201. The next prime is 100021012202233. The reversal of 100021012202221 is 122202210120001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100021012202221 - 2²⁷ = 100020877984493 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100021012202195 and 100021012202204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021012202201) 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 31 ways as a sum of consecutive naturals, for example, 5026030 + ... + 15010096.

It is an arithmetic number, because the mean of its divisors is an integer number (3544394060340).

Almost surely, 2^{100021012202221} is an apocalyptic number.

100021012202221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100021012202221 is a deficient number, since it is larger than the sum of its proper divisors (13399597728659).

100021012202221 is a wasteful number, since it uses less digits than its factorization.

100021012202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9984445.

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

Adding to 100021012202221 its reverse (122202210120001), we get a palindrome (222223222322222).

The spelling of 100021012202221 in words is "one hundred trillion, twenty-one billion, twelve million, two hundred two thousand, two hundred twenty-one".