100212111100221 has 8 divisors (see below), whose sum is σ = 133619477959680. Its totient is φ = 66806409153792.

The previous prime is 100212111100201. The next prime is 100212111100259. The reversal of 100212111100221 is 122001111212001.

It is a happy number.

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

It is not a de Polignac number, because 100212111100221 - 2⁴¹ = 98013087844669 is a prime.

It is a super-2 number, since 2×100212111100221² (a number of 29 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 100212111100221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212111100201) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 416087805 + ... + 416328578.

It is an arithmetic number, because the mean of its divisors is an integer number (16702434744960).

Almost surely, 2^{100212111100221} is an apocalyptic number.

It is an amenable number.

100212111100221 is a deficient number, since it is larger than the sum of its proper divisors (33407366859459).

100212111100221 is an equidigital number, since it uses as much as digits as its factorization.

100212111100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832456515.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100212111100221 its reverse (122001111212001), we get a palindrome (222213222312222).

The spelling of 100212111100221 in words is "one hundred trillion, two hundred twelve billion, one hundred eleven million, one hundred thousand, two hundred twenty-one".