100021222000221 has 32 divisors (see below), whose sum is σ = 135542680732800. Its totient is φ = 65599148100864.

The previous prime is 100021222000207. The next prime is 100021222000253. The reversal of 100021222000221 is 122000222120001.

It is not a de Polignac number, because 100021222000221 - 2⁴² = 95623175489117 is a prime.

It is a super-3 number, since 3×100021222000221³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100021222000221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021222000321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208917111 + ... + 209395323.

It is an arithmetic number, because the mean of its divisors is an integer number (4235708772900).

Almost surely, 2^{100021222000221} is an apocalyptic number.

It is an amenable number.

100021222000221 is a deficient number, since it is larger than the sum of its proper divisors (35521458732579).

100021222000221 is a wasteful number, since it uses less digits than its factorization.

100021222000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482845.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100021222000221 its reverse (122000222120001), we get a palindrome (222021444120222).

The spelling of 100021222000221 in words is "one hundred trillion, twenty-one billion, two hundred twenty-two million, two hundred twenty-one", and thus it is an aban number.