100110222102122 has 32 divisors (see below), whose sum is σ = 152893221280464. Its totient is φ = 49148690112000.

The previous prime is 100110222102109. The next prime is 100110222102179. The reversal of 100110222102122 is 221201222011001.

It can be written as a sum of positive squares in 8 ways, for example, as 71305543836121 + 28804678266001 = 8444261^2 + 5366999^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100110222102122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1058502428 + ... + 1058597000.

Almost surely, 2^{100110222102122} is an apocalyptic number.

100110222102122 is a deficient number, since it is larger than the sum of its proper divisors (52782999178342).

100110222102122 is a wasteful number, since it uses less digits than its factorization.

100110222102122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109674.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 100110222102122 its reverse (221201222011001), we get a palindrome (321311444113123).

The spelling of 100110222102122 in words is "one hundred trillion, one hundred ten billion, two hundred twenty-two million, one hundred two thousand, one hundred twenty-two".