100212102106 has 32 divisors (see below), whose sum is σ = 156247441488. Its totient is φ = 48178851840.

The previous prime is 100212102101. The next prime is 100212102161. The reversal of 100212102106 is 601201212001.

It can be written as a sum of positive squares in 8 ways, for example, as 13761401481 + 86450700625 = 117309^2 + 294025^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100212102106.

It is not an unprimeable number, because it can be changed into a prime (100212102101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 956590 + ... + 1056166.

Almost surely, 2^100212102106 is an apocalyptic number.

100212102106 is a deficient number, since it is larger than the sum of its proper divisors (56035339382).

100212102106 is a wasteful number, since it uses less digits than its factorization.

100212102106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99826.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 100212102106 its reverse (601201212001), we get a palindrome (701413314107).

The spelling of 100212102106 in words is "one hundred billion, two hundred twelve million, one hundred two thousand, one hundred six".