201121011200012 has 24 divisors (see below), whose sum is σ = 370519269528240. Its totient is φ = 95259311228160.

The previous prime is 201121011199991. The next prime is 201121011200017. The reversal of 201121011200012 is 210002110121102.

201121011200012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201121011200012² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 201121011200012.

It is not an unprimeable number, because it can be changed into a prime (201121011200017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117704273 + ... + 119400744.

It is an arithmetic number, because the mean of its divisors is an integer number (15438302897010).

Almost surely, 2^{201121011200012} is an apocalyptic number.

It is an amenable number.

201121011200012 is a deficient number, since it is larger than the sum of its proper divisors (169398258328228).

201121011200012 is a wasteful number, since it uses less digits than its factorization.

201121011200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237116201 (or 237116199 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201121011200012 its reverse (210002110121102), we get a palindrome (411123121321114).

The spelling of 201121011200012 in words is "two hundred one trillion, one hundred twenty-one billion, eleven million, two hundred thousand, twelve".