201100111001 has 16 divisors (see below), whose sum is σ = 216205303680. Its totient is φ = 186606625920.

The previous prime is 201100110977. The next prime is 201100111013. The reversal of 201100111001 is 100111001102.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 201100111001 - 2¹⁴ = 201100094617 is a prime.

It is a super-2 number, since 2×201100111001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 201100111001.

It is not an unprimeable number, because it can be changed into a prime (201100111031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 818315 + ... + 1035296.

It is an arithmetic number, because the mean of its divisors is an integer number (13512831480).

Almost surely, 2^201100111001 is an apocalyptic number.

It is an amenable number.

201100111001 is a deficient number, since it is larger than the sum of its proper divisors (15105192679).

201100111001 is a wasteful number, since it uses less digits than its factorization.

201100111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853776.

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

Adding to 201100111001 its reverse (100111001102), we get a palindrome (301211112103).

The spelling of 201100111001 in words is "two hundred one billion, one hundred million, one hundred eleven thousand, one".