100101001001193 has 12 divisors (see below), whose sum is σ = 146960668137348. Its totient is φ = 65640000656160.

The previous prime is 100101001001147. The next prime is 100101001001207. The reversal of 100101001001193 is 391100100101001.

It can be written as a sum of positive squares in 2 ways, for example, as 32374882351449 + 67726118649744 = 5689893^2 + 8229588^2 .

It is not a de Polignac number, because 100101001001193 - 2⁸ = 100101001000937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100101001001123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91166667030 + ... + 91166668127.

It is an arithmetic number, because the mean of its divisors is an integer number (12246722344779).

Almost surely, 2^{100101001001193} is an apocalyptic number.

It is an amenable number.

100101001001193 is a deficient number, since it is larger than the sum of its proper divisors (46859667136155).

100101001001193 is a wasteful number, since it uses less digits than its factorization.

100101001001193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182333335224 (or 182333335221 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 18.

Adding to 100101001001193 its reverse (391100100101001), we get a palindrome (491201101102194).

The spelling of 100101001001193 in words is "one hundred trillion, one hundred one billion, one million, one thousand, one hundred ninety-three".