201121122102003 has 24 divisors (see below), whose sum is σ = 301336407827312. Its totient is φ = 129168583020288.

The previous prime is 201121122101987. The next prime is 201121122102053. The reversal of 201121122102003 is 300201221121102.

201121122102003 is a `hidden beast` number, since 20 + 11 + 211 + 221 + 0 + 200 + 3 = 666.

It is not a de Polignac number, because 201121122102003 - 2⁴ = 201121122101987 is a prime.

It is a super-2 number, since 2×201121122102003² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201121122102053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3559511626 + ... + 3559568127.

Almost surely, 2^{201121122102003} is an apocalyptic number.

201121122102003 is a deficient number, since it is larger than the sum of its proper divisors (100215285725309).

201121122102003 is a wasteful number, since it uses less digits than its factorization.

201121122102003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7119079875 (or 7119079872 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 201121122102003 its reverse (300201221121102), we get a palindrome (501322343223105).

The spelling of 201121122102003 in words is "two hundred one trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred two thousand, three".