101001000001093 has 2 divisors, whose sum is σ = 101001000001094. Its totient is φ = 101001000001092.

The previous prime is 101001000001001. The next prime is 101001000001127. The reversal of 101001000001093 is 390100000100101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50957925264324 + 50043074736769 = 7138482^2 + 7074113^2 .

It is a cyclic number.

It is not a de Polignac number, because 101001000001093 - 2¹³ = 101000999992901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101001000001393) 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 as a sum of consecutive naturals, namely, 50500500000546 + 50500500000547.

It is an arithmetic number, because the mean of its divisors is an integer number (50500500000547).

Almost surely, 2^{101001000001093} is an apocalyptic number.

It is an amenable number.

101001000001093 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001000001093 is an equidigital number, since it uses as much as digits as its factorization.

101001000001093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 101001000001093 its reverse (390100000100101), we get a palindrome (491101000101194).

The spelling of 101001000001093 in words is "one hundred one trillion, one billion, one thousand, ninety-three".