101001101011093 has 2 divisors, whose sum is σ = 101001101011094. Its totient is φ = 101001101011092.

The previous prime is 101001101011091. The next prime is 101001101011147. The reversal of 101001101011093 is 390110101100101.

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., 94676363911684 + 6324737099409 = 9730178^2 + 2514903^2 .

It is a cyclic number.

It is not a de Polignac number, because 101001101011093 - 2¹ = 101001101011091 is a prime.

It is a super-2 number, since 2×101001101011093² (a number of 29 digits) contains 22 as substring.

Together with 101001101011091, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 101001101011093.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101001101011091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500550505546 + 50500550505547.

It is an arithmetic number, because the mean of its divisors is an integer number (50500550505547).

Almost surely, 2^{101001101011093} is an apocalyptic number.

It is an amenable number.

101001101011093 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001101011093 is an equidigital number, since it uses as much as digits as its factorization.

101001101011093 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 101001101011093 its reverse (390110101100101), we get a palindrome (491111202111194).

The spelling of 101001101011093 in words is "one hundred one trillion, one billion, one hundred one million, eleven thousand, ninety-three".