100101222221 has 32 divisors (see below), whose sum is σ = 134455238400. Its totient is φ = 71972167680.

The previous prime is 100101222209. The next prime is 100101222253. The reversal of 100101222221 is 122222101001.

It is not a de Polignac number, because 100101222221 - 2¹⁰ = 100101221197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100101222196 and 100101222205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101222521) 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, 2673095 + ... + 2710283.

It is an arithmetic number, because the mean of its divisors is an integer number (4201726200).

Almost surely, 2^100101222221 is an apocalyptic number.

100101222221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100101222221 is a deficient number, since it is larger than the sum of its proper divisors (34354016179).

100101222221 is a wasteful number, since it uses less digits than its factorization.

100101222221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39909.

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

Adding to 100101222221 its reverse (122222101001), we get a palindrome (222323323222).

The spelling of 100101222221 in words is "one hundred billion, one hundred one million, two hundred twenty-two thousand, two hundred twenty-one".