221201101102122 has 24 divisors (see below), whose sum is σ = 479321368982820. Its totient is φ = 73725651660480.

The previous prime is 221201101102097. The next prime is 221201101102133.

221201101102122 is a `hidden beast` number, since 221 + 201 + 10 + 110 + 2 + 122 = 666.

221201101102122 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 216559743608961 + 4641357493161 = 14715969^2 + 2154381^2 .

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 = 221201101102095 and 221201101102104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 670556097 + ... + 670885892.

Almost surely, 2^{221201101102122} is an apocalyptic number.

221201101102122 is an abundant number, since it is smaller than the sum of its proper divisors (258120267880698).

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

221201101102122 is a wasteful number, since it uses less digits than its factorization.

221201101102122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341451158 (or 1341451155 counting only the distinct ones).

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

It can be divided in two parts, 22120110 and 1102122, that added together give a palindrome (23222232).

The spelling of 221201101102122 in words is "two hundred twenty-one trillion, two hundred one billion, one hundred one million, one hundred two thousand, one hundred twenty-two".