100101110101093 has 2 divisors, whose sum is σ = 100101110101094. Its totient is φ = 100101110101092.

The previous prime is 100101110101079. The next prime is 100101110101159. The reversal of 100101110101093 is 390101011101001.

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., 80438333062564 + 19662777038529 = 8968742^2 + 4434273^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101110101093 - 2¹³ = 100101110092901 is a prime.

It is a super-2 number, since 2×100101110101093² (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 100101110101093.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101110101393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050555050546 + 50050555050547.

It is an arithmetic number, because the mean of its divisors is an integer number (50050555050547).

Almost surely, 2^{100101110101093} is an apocalyptic number.

It is an amenable number.

100101110101093 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101110101093 is an equidigital number, since it uses as much as digits as its factorization.

100101110101093 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 19.

Adding to 100101110101093 its reverse (390101011101001), we get a palindrome (490202121202094).

The spelling of 100101110101093 in words is "one hundred trillion, one hundred one billion, one hundred ten million, one hundred one thousand, ninety-three".