102111222111221 has 64 divisors (see below), whose sum is σ = 111141299404800. Its totient is φ = 93525842592000.

The previous prime is 102111222111187. The next prime is 102111222111251. The reversal of 102111222111221 is 122111222111201.

It is a happy number.

It is not a de Polignac number, because 102111222111221 - 2¹⁰ = 102111222110197 is a prime.

It is a super-2 number, since 2×102111222111221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102111222111193 and 102111222111202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102111222111251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4776228710 + ... + 4776250088.

It is an arithmetic number, because the mean of its divisors is an integer number (1736582803200).

Almost surely, 2^{102111222111221} is an apocalyptic number.

It is an amenable number.

102111222111221 is a deficient number, since it is larger than the sum of its proper divisors (9030077293579).

102111222111221 is a wasteful number, since it uses less digits than its factorization.

102111222111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21930.

The product of its (nonzero) digits is 64, while the sum is 20.

Subtracting from 102111222111221 its sum of digits (20), we obtain a palindrome (102111222111201).

Adding to 102111222111221 its reverse (122111222111201), we get a palindrome (224222444222422).

The spelling of 102111222111221 in words is "one hundred two trillion, one hundred eleven billion, two hundred twenty-two million, one hundred eleven thousand, two hundred twenty-one".