100222012105 has 16 divisors (see below), whose sum is σ = 123016639824. Its totient is φ = 78360871680.

The previous prime is 100222012031. The next prime is 100222012129. The reversal of 100222012105 is 501210222001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6240526009 + 93981486096 = 78997^2 + 306564^2 .

It is not a de Polignac number, because 100222012105 - 2²¹ = 100219914953 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 998602 + ... + 1094371.

It is an arithmetic number, because the mean of its divisors is an integer number (7688539989).

Almost surely, 2^100222012105 is an apocalyptic number.

It is an amenable number.

100222012105 is a deficient number, since it is larger than the sum of its proper divisors (22794627719).

100222012105 is a wasteful number, since it uses less digits than its factorization.

100222012105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093196.

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 100222012105 its reverse (501210222001), we get a palindrome (601432234106).

The spelling of 100222012105 in words is "one hundred billion, two hundred twenty-two million, twelve thousand, one hundred five".