10100110101093 has 12 divisors (see below), whose sum is σ = 14589421486848. Its totient is φ = 6733234320360.

The previous prime is 10100110101079. The next prime is 10100110101121. The reversal of 10100110101093 is 39010101100101.

It is not a de Polignac number, because 10100110101093 - 2⁵ = 10100110101061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100110101043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13996293 + ... + 14700218.

It is an arithmetic number, because the mean of its divisors is an integer number (1215785123904).

Almost surely, 2^{10100110101093} is an apocalyptic number.

It is an amenable number.

10100110101093 is a deficient number, since it is larger than the sum of its proper divisors (4489311385755).

10100110101093 is a wasteful number, since it uses less digits than its factorization.

10100110101093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28735624 (or 28735621 counting only the distinct ones).

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

Adding to 10100110101093 its reverse (39010101100101), we get a palindrome (49110211201194).

The spelling of 10100110101093 in words is "ten trillion, one hundred billion, one hundred ten million, one hundred one thousand, ninety-three".