100212110105 has 8 divisors (see below), whose sum is σ = 120259528200. Its totient is φ = 80166357376.

The previous prime is 100212110101. The next prime is 100212110107. The reversal of 100212110105 is 501011212001.

It can be written as a sum of positive squares in 4 ways, for example, as 28137043081 + 72075067024 = 167741^2 + 268468^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100212110105 - 2² = 100212110101 is a prime.

It is a super-2 number, since 2×100212110105² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100212110105.

It is not an unprimeable number, because it can be changed into a prime (100212110101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 279890 + ... + 527979.

It is an arithmetic number, because the mean of its divisors is an integer number (15032441025).

Almost surely, 2^100212110105 is an apocalyptic number.

It is an amenable number.

100212110105 is a deficient number, since it is larger than the sum of its proper divisors (20047418095).

100212110105 is an equidigital number, since it uses as much as digits as its factorization.

100212110105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832683.

The product of its (nonzero) digits is 20, while the sum is 14.

Adding to 100212110105 its reverse (501011212001), we get a palindrome (601223322106).

The spelling of 100212110105 in words is "one hundred billion, two hundred twelve million, one hundred ten thousand, one hundred five".