10100100011105 has 96 divisors (see below), whose sum is σ = 13936521160800. Its totient is φ = 6983886274560.

The previous prime is 10100100011077. The next prime is 10100100011107. The reversal of 10100100011105 is 50111000100101.

It is a happy number.

It can be written as a sum of positive squares in 48 ways, for example, as 9413906467681 + 686193543424 = 3068209^2 + 828368^2 .

It is not a de Polignac number, because 10100100011105 - 2²² = 10100095816801 is a prime.

It is a super-2 number, since 2×10100100011105² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10100100011107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3415656287 + ... + 3415659243.

It is an arithmetic number, because the mean of its divisors is an integer number (145172095425).

Almost surely, 2^{10100100011105} is an apocalyptic number.

It is an amenable number.

10100100011105 is a deficient number, since it is larger than the sum of its proper divisors (3836421149695).

10100100011105 is a wasteful number, since it uses less digits than its factorization.

10100100011105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3879 (or 3862 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 11.

Adding to 10100100011105 its reverse (50111000100101), we get a palindrome (60211100111206).

The spelling of 10100100011105 in words is "ten trillion, one hundred billion, one hundred million, eleven thousand, one hundred five".