101111022210113 has 8 divisors (see below), whose sum is σ = 101696485364136. Its totient is φ = 100525570624000.

The previous prime is 101111022210061. The next prime is 101111022210131. The reversal of 101111022210113 is 311012220111101.

It can be written as a sum of positive squares in 4 ways, for example, as 41390398330369 + 59720623879744 = 6433537^2 + 7727912^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 101111022210113 - 2¹⁰ = 101111022209089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101111022210091 and 101111022210100.

It is not an unprimeable number, because it can be changed into a prime (101111022210413) 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, 14957963 + ... + 20638863.

It is an arithmetic number, because the mean of its divisors is an integer number (12712060670517).

Almost surely, 2^{101111022210113} is an apocalyptic number.

It is an amenable number.

101111022210113 is a deficient number, since it is larger than the sum of its proper divisors (585463154023).

101111022210113 is a wasteful number, since it uses less digits than its factorization.

101111022210113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5783955.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 101111022210113 its reverse (311012220111101), we get a palindrome (412123242321214).

The spelling of 101111022210113 in words is "one hundred one trillion, one hundred eleven billion, twenty-two million, two hundred ten thousand, one hundred thirteen".