201110121000 has 160 divisors (see below), whose sum is σ = 702991883880. Its totient is φ = 53629344000.

The previous prime is 201110120917. The next prime is 201110121001. The reversal of 201110121000 is 121011102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 32134864644 + 168975256356 = 179262^2 + 411066^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (201110121001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1160421 + ... + 1322420.

Almost surely, 2^201110121000 is an apocalyptic number.

201110121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201110121000 is an abundant number, since it is smaller than the sum of its proper divisors (501881762880).

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

201110121000 is a wasteful number, since it uses less digits than its factorization.

201110121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2482874 (or 2482851 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 201110121000 its reverse (121011102), we get a palindrome (201231132102).

The spelling of 201110121000 in words is "two hundred one billion, one hundred ten million, one hundred twenty-one thousand".