201110001001092 has 576 divisors, whose sum is σ = 575276687032320. Its totient is φ = 61246761206400.

The previous prime is 201110001001043. The next prime is 201110001001139. The reversal of 201110001001092 is 290100100011102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22200017659 + ... + 22200026717.

It is an arithmetic number, because the mean of its divisors is an integer number (998744248320).

Almost surely, 2^{201110001001092} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201110001001092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287638343516160).

201110001001092 is an abundant number, since it is smaller than the sum of its proper divisors (374166686031228).

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

201110001001092 is a wasteful number, since it uses less digits than its factorization.

201110001001092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9546 (or 9532 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 201110001001092 its reverse (290100100011102), we get a palindrome (491210101012194).

The spelling of 201110001001092 in words is "two hundred one trillion, one hundred ten billion, one million, one thousand, ninety-two".