201221100121122 has 24 divisors (see below), whose sum is σ = 435985287407280. Its totient is φ = 67072740479640.

The previous prime is 201221100121061. The next prime is 201221100121163. The reversal of 201221100121122 is 221121001122102.

201221100121122 is a `hidden beast` number, since 201 + 221 + 1 + 0 + 0 + 121 + 122 = 666.

It is a super-2 number, since 2×201221100121122² (a number of 29 digits) contains 22 as substring.

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 = 201221100121095 and 201221100121104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78669672 + ... + 81187187.

It is an arithmetic number, because the mean of its divisors is an integer number (18166053641970).

Almost surely, 2^{201221100121122} is an apocalyptic number.

201221100121122 is an abundant number, since it is smaller than the sum of its proper divisors (234764187286158).

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

201221100121122 is a wasteful number, since it uses less digits than its factorization.

201221100121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159926798 (or 159926795 counting only the distinct ones).

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

Adding to 201221100121122 its reverse (221121001122102), we get a palindrome (422342101243224).

The spelling of 201221100121122 in words is "two hundred one trillion, two hundred twenty-one billion, one hundred million, one hundred twenty-one thousand, one hundred twenty-two".