201120121011012 has 48 divisors (see below), whose sum is σ = 536435835328512. Its totient is φ = 57450515364000.

The previous prime is 201120121010989. The next prime is 201120121011053. The reversal of 201120121011012 is 210110121021102.

It is a happy number.

It is a super-2 number, since 2×201120121011012² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201120121010982 and 201120121011000.

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 15 ways as a sum of consecutive naturals, for example, 257448364 + ... + 258228387.

It is an arithmetic number, because the mean of its divisors is an integer number (11175746569344).

Almost surely, 2^{201120121011012} is an apocalyptic number.

It is an amenable number.

201120121011012 is an abundant number, since it is smaller than the sum of its proper divisors (335315714317500).

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

201120121011012 is a wasteful number, since it uses less digits than its factorization.

201120121011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515681408 (or 515681406 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 201120121011012 its reverse (210110121021102), we get a palindrome (411230242032114).

The spelling of 201120121011012 in words is "two hundred one trillion, one hundred twenty billion, one hundred twenty-one million, eleven thousand, twelve".