101101110001093 has 2 divisors, whose sum is σ = 101101110001094. Its totient is φ = 101101110001092.

The previous prime is 101101110001081. The next prime is 101101110001163. The reversal of 101101110001093 is 390100011101101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97409339726689 + 3691770274404 = 9869617^2 + 1921398^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101110001093 - 2²⁵ = 101101076446661 is a prime.

It is a super-2 number, since 2×101101110001093² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101101110001093.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101101110001033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550555000546 + 50550555000547.

It is an arithmetic number, because the mean of its divisors is an integer number (50550555000547).

Almost surely, 2^{101101110001093} is an apocalyptic number.

It is an amenable number.

101101110001093 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101110001093 is an equidigital number, since it uses as much as digits as its factorization.

101101110001093 is an evil number, because the sum of its binary digits is even.

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

Adding to 101101110001093 its reverse (390100011101101), we get a palindrome (491201121102194).

The spelling of 101101110001093 in words is "one hundred one trillion, one hundred one billion, one hundred ten million, one thousand, ninety-three".