10100111105 has 16 divisors (see below), whose sum is σ = 14580612480. Its totient is φ = 6561274752.

The previous prime is 10100111101. The next prime is 10100111113. The reversal of 10100111105 is 50111100101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10100111105 - 2² = 10100111101 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100111101) 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, 7593404 + ... + 7594733.

It is an arithmetic number, because the mean of its divisors is an integer number (911288280).

Almost surely, 2^10100111105 is an apocalyptic number.

It is an amenable number.

10100111105 is a deficient number, since it is larger than the sum of its proper divisors (4480501375).

10100111105 is a wasteful number, since it uses less digits than its factorization.

10100111105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15188168.

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

Adding to 10100111105 its reverse (50111100101), we get a palindrome (60211211206).

The spelling of 10100111105 in words is "ten billion, one hundred million, one hundred eleven thousand, one hundred five".