101100001101193 has 32 divisors (see below), whose sum is σ = 109311741665280. Its totient is φ = 93230255162880.

The previous prime is 101100001101181. The next prime is 101100001101233. The reversal of 101100001101193 is 391101100001101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101100001101193 - 2⁵ = 101100001101161 is a prime.

It is a super-2 number, since 2×101100001101193² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101100001101193.

It is not an unprimeable number, because it can be changed into a prime (101100001101173) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 413362846 + ... + 413607352.

It is an arithmetic number, because the mean of its divisors is an integer number (3415991927040).

Almost surely, 2^{101100001101193} is an apocalyptic number.

It is an amenable number.

101100001101193 is a deficient number, since it is larger than the sum of its proper divisors (8211740564087).

101100001101193 is a wasteful number, since it uses less digits than its factorization.

101100001101193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246757.

The product of its (nonzero) digits is 27, while the sum is 19.

Adding to 101100001101193 its reverse (391101100001101), we get a palindrome (492201101102294).

The spelling of 101100001101193 in words is "one hundred one trillion, one hundred billion, one million, one hundred one thousand, one hundred ninety-three".