10010110101093 has 8 divisors (see below), whose sum is σ = 14829792742400. Its totient is φ = 6673406734044.

The previous prime is 10010110101059. The next prime is 10010110101097. The reversal of 10010110101093 is 39010101101001.

It is not a de Polignac number, because 10010110101093 - 2²⁴ = 10010093323877 is a prime.

It is a super-2 number, since 2×10010110101093² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010110101097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185372409253 + ... + 185372409306.

It is an arithmetic number, because the mean of its divisors is an integer number (1853724092800).

Almost surely, 2^{10010110101093} is an apocalyptic number.

It is an amenable number.

10010110101093 is a deficient number, since it is larger than the sum of its proper divisors (4819682641307).

10010110101093 is an equidigital number, since it uses as much as digits as its factorization.

10010110101093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370744818568 (or 370744818562 counting only the distinct ones).

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

Adding to 10010110101093 its reverse (39010101101001), we get a palindrome (49020211202094).

The spelling of 10010110101093 in words is "ten trillion, ten billion, one hundred ten million, one hundred one thousand, ninety-three".