201121012011012 has 24 divisors (see below), whose sum is σ = 469282646903616. Its totient is φ = 67040296544928.

The previous prime is 201121012010983. The next prime is 201121012011047. The reversal of 201121012011012 is 210110210121102.

It is a happy number.

201121012011012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201121012011012² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201121012010982 and 201121012011000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20642278 + ... + 28780994.

It is an arithmetic number, because the mean of its divisors is an integer number (19553443620984).

Almost surely, 2^{201121012011012} is an apocalyptic number.

It is an amenable number.

201121012011012 is an abundant number, since it is smaller than the sum of its proper divisors (268161634892604).

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

201121012011012 is a wasteful number, since it uses less digits than its factorization.

201121012011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10198027 (or 10198025 counting only the distinct ones).

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

Adding to 201121012011012 its reverse (210110210121102), we get a palindrome (411231222132114).

The spelling of 201121012011012 in words is "two hundred one trillion, one hundred twenty-one billion, twelve million, eleven thousand, twelve".