201101101001000 has 32 divisors (see below), whose sum is σ = 470576576344680. Its totient is φ = 80440440400000.

The previous prime is 201101101000997. The next prime is 201101101001093. The reversal of 201101101001000 is 100101101102.

It is a happy number.

201101101001000 is digitally balanced in base 3, 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 4 ways, for example, as 52759565362084 + 148341535638916 = 7263578^2 + 12179554^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 100550549501 + ... + 100550551500.

Almost surely, 2^{201101101001000} is an apocalyptic number.

201101101001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201101101001000 is an abundant number, since it is smaller than the sum of its proper divisors (269475475343680).

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

201101101001000 is a wasteful number, since it uses less digits than its factorization.

201101101001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201101101022 (or 201101101008 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 201101101001000 its reverse (100101101102), we get a palindrome (201201202102102).

It can be divided in two parts, 201101 and 101001000, that added together give a palindrome (101202101).

The spelling of 201101101001000 in words is "two hundred one trillion, one hundred one billion, one hundred one million, one thousand".