221201211100122 has 768 divisors, whose sum is σ = 575795954073600. Its totient is φ = 60632196710400.

The previous prime is 221201211100109. The next prime is 221201211100153. The reversal of 221201211100122 is 221001112102122.

221201211100122 is a `hidden beast` number, since 221 + 201 + 21 + 1 + 100 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221201211100095 and 221201211100104.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 525418553472 + ... + 525418553892.

It is an arithmetic number, because the mean of its divisors is an integer number (749734315200).

Almost surely, 2^{221201211100122} is an apocalyptic number.

221201211100122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 221201211100122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287897977036800).

221201211100122 is an abundant number, since it is smaller than the sum of its proper divisors (354594742973478).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221201211100122 is a wasteful number, since it uses less digits than its factorization.

221201211100122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221201211100122 its reverse (221001112102122), we get a palindrome (442202323202244).

The spelling of 221201211100122 in words is "two hundred twenty-one trillion, two hundred one billion, two hundred eleven million, one hundred thousand, one hundred twenty-two".