100212111112221 has 40 divisors (see below), whose sum is σ = 156235968282240. Its totient is φ = 63892036109088.

The previous prime is 100212111112189. The next prime is 100212111112249. The reversal of 100212111112221 is 122211111212001.

It is a happy number.

100212111112221 is a `hidden beast` number, since 10 + 0 + 212 + 111 + 112 + 221 = 666.

It is not a de Polignac number, because 100212111112221 - 2⁵ = 100212111112189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100212111112194 and 100212111112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212111112621) 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 39 ways as a sum of consecutive naturals, for example, 5735931 + ... + 15274983.

It is an arithmetic number, because the mean of its divisors is an integer number (3905899207056).

Almost surely, 2^{100212111112221} is an apocalyptic number.

It is an amenable number.

100212111112221 is a deficient number, since it is larger than the sum of its proper divisors (56023857170019).

100212111112221 is an equidigital number, since it uses as much as digits as its factorization.

100212111112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9544727 (or 9544718 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 100212111112221 its reverse (122211111212001), we get a palindrome (222423222324222).

The spelling of 100212111112221 in words is "one hundred trillion, two hundred twelve billion, one hundred eleven million, one hundred twelve thousand, two hundred twenty-one".