201121102200012 has 96 divisors (see below), whose sum is σ = 481143938145024. Its totient is φ = 65352071635200.

The previous prime is 201121102199959. The next prime is 201121102200043. The reversal of 201121102200012 is 210002201121102.

It is a junction number, because it is equal to n+sod(n) for n = 201121102199964 and 201121102200000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2473560663 + ... + 2473641969.

It is an arithmetic number, because the mean of its divisors is an integer number (5011916022344).

Almost surely, 2^{201121102200012} is an apocalyptic number.

It is an amenable number.

201121102200012 is an abundant number, since it is smaller than the sum of its proper divisors (280022835945012).

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

201121102200012 is a wasteful number, since it uses less digits than its factorization.

201121102200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90759 (or 90757 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201121102200012 its reverse (210002201121102), we get a palindrome (411123303321114).

The spelling of 201121102200012 in words is "two hundred one trillion, one hundred twenty-one billion, one hundred two million, two hundred thousand, twelve".