201121001122221 has 192 divisors, whose sum is σ = 320856708556800. Its totient is φ = 121085024256000.

The previous prime is 201121001122189. The next prime is 201121001122273. The reversal of 201121001122221 is 122221100121102.

201121001122221 is a `hidden beast` number, since 201 + 1 + 210 + 0 + 11 + 22 + 221 = 666.

It is not a de Polignac number, because 201121001122221 - 2⁵ = 201121001122189 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 201121001122194 and 201121001122203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201121001122121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8668623421 + ... + 8668646621.

It is an arithmetic number, because the mean of its divisors is an integer number (1671128690400).

Almost surely, 2^{201121001122221} is an apocalyptic number.

It is an amenable number.

201121001122221 is a deficient number, since it is larger than the sum of its proper divisors (119735707434579).

201121001122221 is a wasteful number, since it uses less digits than its factorization.

201121001122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23660 (or 23657 counting only the distinct ones).

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

Adding to 201121001122221 its reverse (122221100121102), we get a palindrome (323342101243323).

The spelling of 201121001122221 in words is "two hundred one trillion, one hundred twenty-one billion, one million, one hundred twenty-two thousand, two hundred twenty-one".