101111102110213 has 8 divisors (see below), whose sum is σ = 108956386272888. Its totient is φ = 93275461815744.

The previous prime is 101111102110153. The next prime is 101111102110261. The reversal of 101111102110213 is 312011201111101.

It can be written as a sum of positive squares in 4 ways, for example, as 189327673924 + 100921774436289 = 435118^2 + 10045983^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101111102110213 - 2¹⁷ = 101111101979141 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 (101111102110313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2410945270 + ... + 2410987207.

It is an arithmetic number, because the mean of its divisors is an integer number (13619548284111).

Almost surely, 2^{101111102110213} is an apocalyptic number.

101111102110213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101111102110213 is a deficient number, since it is larger than the sum of its proper divisors (7845284162675).

101111102110213 is a wasteful number, since it uses less digits than its factorization.

101111102110213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4821934103.

The product of its (nonzero) digits is 12, while the sum is 16.

Adding to 101111102110213 its reverse (312011201111101), we get a palindrome (413122303221314).

The spelling of 101111102110213 in words is "one hundred one trillion, one hundred eleven billion, one hundred two million, one hundred ten thousand, two hundred thirteen".