201110201101000 has 64 divisors (see below), whose sum is σ = 491058647614080. Its totient is φ = 76946511716800.

The previous prime is 201110201100989. The next prime is 201110201101031. The reversal of 201110201101000 is 101102011102.

201110201101000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201110201101000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4371937894 + ... + 4371983893.

It is an arithmetic number, because the mean of its divisors is an integer number (7672791368970).

Almost surely, 2^{201110201101000} is an apocalyptic number.

201110201101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201110201101000 is an abundant number, since it is smaller than the sum of its proper divisors (289948446513080).

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

201110201101000 is a wasteful number, since it uses less digits than its factorization.

201110201101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8743921831 (or 8743921817 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 201110201101000 its reverse (101102011102), we get a palindrome (201211303112102).

The spelling of 201110201101000 in words is "two hundred one trillion, one hundred ten billion, two hundred one million, one hundred one thousand".