101000011193 has 8 divisors (see below), whose sum is σ = 107046775368. Its totient is φ = 94964978944.

The previous prime is 101000011169. The next prime is 101000011201. The reversal of 101000011193 is 391110000101.

It can be written as a sum of positive squares in 4 ways, for example, as 3664123024 + 97335888169 = 60532^2 + 311987^2 .

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

It is not a de Polignac number, because 101000011193 - 2²⁴ = 100983233977 is a prime.

It is a super-2 number, since 2×101000011193² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101000016193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2915246 + ... + 2949687.

It is an arithmetic number, because the mean of its divisors is an integer number (13380846921).

Almost surely, 2^101000011193 is an apocalyptic number.

It is an amenable number.

101000011193 is a deficient number, since it is larger than the sum of its proper divisors (6046764175).

101000011193 is a wasteful number, since it uses less digits than its factorization.

101000011193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5865963.

The product of its (nonzero) digits is 27, while the sum is 17.

Adding to 101000011193 its reverse (391110000101), we get a palindrome (492110011294).

The spelling of 101000011193 in words is "one hundred one billion, eleven thousand, one hundred ninety-three".