1001111112105 has 32 divisors (see below), whose sum is σ = 1732524245760. Its totient is φ = 490702475520.

The previous prime is 1001111112017. The next prime is 1001111112107. The reversal of 1001111112105 is 5012111111001.

It is not a de Polignac number, because 1001111112105 - 2¹² = 1001111108009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1001111112107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11164741 + ... + 11254050.

It is an arithmetic number, because the mean of its divisors is an integer number (54141382680).

Almost surely, 2^{1001111112105} is an apocalyptic number.

1001111112105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1001111112105 is a deficient number, since it is larger than the sum of its proper divisors (731413133655).

1001111112105 is a wasteful number, since it uses less digits than its factorization.

1001111112105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22419041.

The product of its (nonzero) digits is 10, while the sum is 15.

Adding to 1001111112105 its reverse (5012111111001), we get a palindrome (6013222223106).

The spelling of 1001111112105 in words is "one trillion, one billion, one hundred eleven million, one hundred twelve thousand, one hundred five".