101011021101113 has 4 divisors (see below), whose sum is σ = 102011130221028. Its totient is φ = 100010911981200.

The previous prime is 101011021101091. The next prime is 101011021101157. The reversal of 101011021101113 is 311101120110101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 88013611744249 + 12997409356864 = 9381557^2 + 3605192^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011021101113 - 2¹⁰ = 101011021100089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101011021151113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 500054559806 + ... + 500054560007.

It is an arithmetic number, because the mean of its divisors is an integer number (25502782555257).

Almost surely, 2^{101011021101113} is an apocalyptic number.

It is an amenable number.

101011021101113 is a deficient number, since it is larger than the sum of its proper divisors (1000109119915).

101011021101113 is a wasteful number, since it uses less digits than its factorization.

101011021101113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000109119914.

The product of its (nonzero) digits is 6, while the sum is 14.

Adding to 101011021101113 its reverse (311101120110101), we get a palindrome (412112141211214).

The spelling of 101011021101113 in words is "one hundred one trillion, eleven billion, twenty-one million, one hundred one thousand, one hundred thirteen".