201121122002 has 8 divisors (see below), whose sum is σ = 302093256396. Its totient is φ = 100423369872.

The previous prime is 201121122001. The next prime is 201121122011. The reversal of 201121122002 is 200221121102.

201121122002 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 150257792161 + 50863329841 = 387631^2 + 225529^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not an unprimeable number, because it can be changed into a prime (201121122001) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 68593733 + ... + 68596664.

Almost surely, 2^201121122002 is an apocalyptic number.

201121122002 is a deficient number, since it is larger than the sum of its proper divisors (100972134394).

201121122002 is a wasteful number, since it uses less digits than its factorization.

201121122002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137191132.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201121122002 its reverse (200221121102), we get a palindrome (401342243104).

The spelling of 201121122002 in words is "two hundred one billion, one hundred twenty-one million, one hundred twenty-two thousand, two".