102212100221111 has 8 divisors (see below), whose sum is σ = 102438104496000. Its totient is φ = 101986285471488.

The previous prime is 102212100221041. The next prime is 102212100221113. The reversal of 102212100221111 is 111122001212201.

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 102212100221111 - 2⁴² = 97814053710007 is a prime.

It is a super-4 number, since 4×102212100221111⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102212100221111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212100221113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46301486 + ... + 48458763.

It is an arithmetic number, because the mean of its divisors is an integer number (12804763062000).

Almost surely, 2^{102212100221111} is an apocalyptic number.

102212100221111 is a deficient number, since it is larger than the sum of its proper divisors (226004274889).

102212100221111 is an equidigital number, since it uses as much as digits as its factorization.

102212100221111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94762633.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 102212100221111 its reverse (111122001212201), we get a palindrome (213334101433312).

The spelling of 102212100221111 in words is "one hundred two trillion, two hundred twelve billion, one hundred million, two hundred twenty-one thousand, one hundred eleven".