100010101101093 has 16 divisors (see below), whose sum is σ = 148827521328640. Its totient is φ = 66374416870272.

The previous prime is 100010101101091. The next prime is 100010101101107. The reversal of 100010101101093 is 390101101010001.

It is not a de Polignac number, because 100010101101093 - 2¹ = 100010101101091 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010101101091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8305101196 + ... + 8305113237.

It is an arithmetic number, because the mean of its divisors is an integer number (9301720083040).

Almost surely, 2^{100010101101093} is an apocalyptic number.

It is an amenable number.

100010101101093 is a deficient number, since it is larger than the sum of its proper divisors (48817420227547).

100010101101093 is a wasteful number, since it uses less digits than its factorization.

100010101101093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16610214665 (or 16610214659 counting only the distinct ones).

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

Adding to 100010101101093 its reverse (390101101010001), we get a palindrome (490111202111094).

The spelling of 100010101101093 in words is "one hundred trillion, ten billion, one hundred one million, one hundred one thousand, ninety-three".