10211103111105 has 128 divisors (see below), whose sum is σ = 19627739658240. Its totient is φ = 5006893305600.

The previous prime is 10211103111101. The next prime is 10211103111107. The reversal of 10211103111105 is 50111130111201.

10211103111105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10211103111105 - 2² = 10211103111101 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10211103111101) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1582868130 + ... + 1582874580.

It is an arithmetic number, because the mean of its divisors is an integer number (153341716080).

Almost surely, 2^{10211103111105} is an apocalyptic number.

10211103111105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10211103111105 is a deficient number, since it is larger than the sum of its proper divisors (9416636547135).

10211103111105 is a wasteful number, since it uses less digits than its factorization.

10211103111105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9948 (or 9942 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 18.

Adding to 10211103111105 its reverse (50111130111201), we get a palindrome (60322233222306).

The spelling of 10211103111105 in words is "ten trillion, two hundred eleven billion, one hundred three million, one hundred eleven thousand, one hundred five".