10101101010093 has 6 divisors (see below), whose sum is σ = 14590479236814. Its totient is φ = 6734067340056.

The previous prime is 10101101010071. The next prime is 10101101010109. The reversal of 10101101010093 is 39001010110101.

It can be written as a sum of positive squares in only one way, i.e., 6500526449769 + 3600574560324 = 2549613^2 + 1897518^2 .

It is not a de Polignac number, because 10101101010093 - 2²⁶ = 10101033901229 is a prime.

It is a super-2 number, since 2×10101101010093² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101101010293) 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 in 5 ways as a sum of consecutive naturals, for example, 561172278330 + ... + 561172278347.

It is an arithmetic number, because the mean of its divisors is an integer number (2431746539469).

Almost surely, 2^{10101101010093} is an apocalyptic number.

It is an amenable number.

10101101010093 is a deficient number, since it is larger than the sum of its proper divisors (4489378226721).

10101101010093 is a wasteful number, since it uses less digits than its factorization.

10101101010093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122344556683 (or 1122344556680 counting only the distinct ones).

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

Adding to 10101101010093 its reverse (39001010110101), we get a palindrome (49102111120194).

The spelling of 10101101010093 in words is "ten trillion, one hundred one billion, one hundred one million, ten thousand, ninety-three".