101001111000093 has 12 divisors (see below), whose sum is σ = 145988472526780. Its totient is φ = 67288852987776.

The previous prime is 101001111000091. The next prime is 101001111000103. The reversal of 101001111000093 is 390000111100101.

It can be written as a sum of positive squares in 2 ways, for example, as 28398901799844 + 72602209200249 = 5329062^2 + 8520693^2 .

It is not a de Polignac number, because 101001111000093 - 2¹ = 101001111000091 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001111000091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3768403546 + ... + 3768430347.

Almost surely, 2^{101001111000093} is an apocalyptic number.

It is an amenable number.

101001111000093 is a deficient number, since it is larger than the sum of its proper divisors (44987361526687).

101001111000093 is a wasteful number, since it uses less digits than its factorization.

101001111000093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7536835388 (or 7536835385 counting only the distinct ones).

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

Adding to 101001111000093 its reverse (390000111100101), we get a palindrome (491001222100194).

The spelling of 101001111000093 in words is "one hundred one trillion, one billion, one hundred eleven million, ninety-three", and thus it is an aban number.