100212102221 has 32 divisors (see below), whose sum is σ = 126249643008. Its totient is φ = 77270336640.

The previous prime is 100212102191. The next prime is 100212102223. The reversal of 100212102221 is 122201212001.

It is a de Polignac number, because none of the positive numbers 2^k-100212102221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100212102196 and 100212102205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212102223) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7845386 + ... + 7858148.

It is an arithmetic number, because the mean of its divisors is an integer number (3945301344).

Almost surely, 2^100212102221 is an apocalyptic number.

100212102221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100212102221 is a deficient number, since it is larger than the sum of its proper divisors (26037540787).

100212102221 is a wasteful number, since it uses less digits than its factorization.

100212102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13841.

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

Adding to 100212102221 its reverse (122201212001), we get a palindrome (222413314222).

The spelling of 100212102221 in words is "one hundred billion, two hundred twelve million, one hundred two thousand, two hundred twenty-one".