101101230022113 has 16 divisors (see below), whose sum is σ = 149801086411200. Its totient is φ = 67391151144480.

The previous prime is 101101230022061. The next prime is 101101230022127. The reversal of 101101230022113 is 311220032101101.

101101230022113 is a `hidden beast` number, since 10 + 110 + 12 + 300 + 221 + 13 = 666.

It is not a de Polignac number, because 101101230022113 - 2⁹ = 101101230021601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101101230022213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268388028 + ... + 268764461.

It is an arithmetic number, because the mean of its divisors is an integer number (9362567900700).

Almost surely, 2^{101101230022113} is an apocalyptic number.

It is an amenable number.

101101230022113 is a deficient number, since it is larger than the sum of its proper divisors (48699856389087).

101101230022113 is an equidigital number, since it uses as much as digits as its factorization.

101101230022113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537159469 (or 537159463 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101101230022113 its reverse (311220032101101), we get a palindrome (412321262123214).

The spelling of 101101230022113 in words is "one hundred one trillion, one hundred one billion, two hundred thirty million, twenty-two thousand, one hundred thirteen".