211102120031101 has 16 divisors (see below), whose sum is σ = 227639673641520. Its totient is φ = 194607281272320.

The previous prime is 211102120031081. The next prime is 211102120031149. The reversal of 211102120031101 is 101130021201112.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 149834712008601 + 61267408022500 = 12240699^2 + 7827350^2 .

It is a cyclic number.

It is not a de Polignac number, because 211102120031101 - 2⁵ = 211102120031069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211102120032101) 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, 538520911 + ... + 538912771.

It is an arithmetic number, because the mean of its divisors is an integer number (14227479602595).

Almost surely, 2^{211102120031101} is an apocalyptic number.

It is an amenable number.

211102120031101 is a deficient number, since it is larger than the sum of its proper divisors (16537553610419).

211102120031101 is a wasteful number, since it uses less digits than its factorization.

211102120031101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446256.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 211102120031101 its reverse (101130021201112), we get a palindrome (312232141232213).

The spelling of 211102120031101 in words is "two hundred eleven trillion, one hundred two billion, one hundred twenty million, thirty-one thousand, one hundred one".