201121011100112 has 10 divisors (see below), whose sum is σ = 389671959006498. Its totient is φ = 100560505550048.

The previous prime is 201121011100111. The next prime is 201121011100147. The reversal of 201121011100112 is 211001110121102.

201121011100112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 109265961617296 + 91855049482816 = 10453036^2 + 9584104^2 .

It is a super-2 number, since 2×201121011100112² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201121011100111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6285031596863 + ... + 6285031596894.

Almost surely, 2^{201121011100112} is an apocalyptic number.

It is an amenable number.

201121011100112 is a deficient number, since it is larger than the sum of its proper divisors (188550947906386).

201121011100112 is a wasteful number, since it uses less digits than its factorization.

201121011100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12570063193765 (or 12570063193759 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 201121011100112 its reverse (211001110121102), we get a palindrome (412122121221214).

The spelling of 201121011100112 in words is "two hundred one trillion, one hundred twenty-one billion, eleven million, one hundred thousand, one hundred twelve".