102212201112221 has 16 divisors (see below), whose sum is σ = 104326736754240. Its totient is φ = 100104566739840.

The previous prime is 102212201112191. The next prime is 102212201112269. The reversal of 102212201112221 is 122211102212201.

It is a cyclic number.

It is not a de Polignac number, because 102212201112221 - 2²² = 102212196917917 is a prime.

It is a super-2 number, since 2×102212201112221² (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 = 102212201112193 and 102212201112202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212501112221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1544681225 + ... + 1544747393.

It is an arithmetic number, because the mean of its divisors is an integer number (6520421047140).

Almost surely, 2^{102212201112221} is an apocalyptic number.

It is an amenable number.

102212201112221 is a deficient number, since it is larger than the sum of its proper divisors (2114535642019).

102212201112221 is an equidigital number, since it uses as much as digits as its factorization.

102212201112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117836.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 102212201112221 its reverse (122211102212201), we get a palindrome (224423303324422).

The spelling of 102212201112221 in words is "one hundred two trillion, two hundred twelve billion, two hundred one million, one hundred twelve thousand, two hundred twenty-one".