10101000111093 has 6 divisors (see below), whose sum is σ = 14590333493814. Its totient is φ = 6734000074056.

The previous prime is 10101000111043. The next prime is 10101000111101. The reversal of 10101000111093 is 39011100010101.

10101000111093 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8944035272964 + 1156964838129 = 2990658^2 + 1075623^2 .

It is not a de Polignac number, because 10101000111093 - 2¹² = 10101000106997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101000111043) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 561166672830 + ... + 561166672847.

It is an arithmetic number, because the mean of its divisors is an integer number (2431722248969).

Almost surely, 2^{10101000111093} is an apocalyptic number.

It is an amenable number.

10101000111093 is a deficient number, since it is larger than the sum of its proper divisors (4489333382721).

10101000111093 is a wasteful number, since it uses less digits than its factorization.

10101000111093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122333345683 (or 1122333345680 counting only the distinct ones).

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

Adding to 10101000111093 its reverse (39011100010101), we get a palindrome (49112100121194).

The spelling of 10101000111093 in words is "ten trillion, one hundred one billion, one hundred eleven thousand, ninety-three".