201110001222121 has 16 divisors (see below), whose sum is σ = 208126586250000. Its totient is φ = 194098875134976.

The previous prime is 201110001222083. The next prime is 201110001222127. The reversal of 201110001222121 is 121222100011102.

It can be written as a sum of positive squares in 8 ways, for example, as 79713616896 + 201030287605225 = 282336^2 + 14178515^2 .

It is a cyclic number.

It is not a de Polignac number, because 201110001222121 - 2⁷ = 201110001221993 is a prime.

It is a super-2 number, since 2×201110001222121² (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 = 201110001222095 and 201110001222104.

It is not an unprimeable number, because it can be changed into a prime (201110001222127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1542792855 + ... + 1542923203.

It is an arithmetic number, because the mean of its divisors is an integer number (13007911640625).

Almost surely, 2^{201110001222121} is an apocalyptic number.

It is an amenable number.

201110001222121 is a deficient number, since it is larger than the sum of its proper divisors (7016585027879).

201110001222121 is a wasteful number, since it uses less digits than its factorization.

201110001222121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150876.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 201110001222121 its reverse (121222100011102), we get a palindrome (322332101233223).

The spelling of 201110001222121 in words is "two hundred one trillion, one hundred ten billion, one million, two hundred twenty-two thousand, one hundred twenty-one".