1001111101107 has 64 divisors (see below), whose sum is σ = 1518615168000. Its totient is φ = 581539419648.

The previous prime is 1001111101087. The next prime is 1001111101121. The reversal of 1001111101107 is 7011011111001.

It is not a de Polignac number, because 1001111101107 - 2¹² = 1001111097011 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001111101187) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 490980394 + ... + 490982432.

It is an arithmetic number, because the mean of its divisors is an integer number (23728362000).

Almost surely, 2^{1001111101107} is an apocalyptic number.

1001111101107 is a deficient number, since it is larger than the sum of its proper divisors (517504066893).

1001111101107 is a wasteful number, since it uses less digits than its factorization.

1001111101107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4140.

The product of its (nonzero) digits is 7, while the sum is 15.

Adding to 1001111101107 its reverse (7011011111001), we get a palindrome (8012122212108).

The spelling of 1001111101107 in words is "one trillion, one billion, one hundred eleven million, one hundred one thousand, one hundred seven".